Function block
A function block allows a multiplier and a multi-input multiplexer to be realized with a small number of blocks. A logical function generator generates a logical output signal from first to fourth logical inputs thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data. A 4-2 carry block generates a 4-2 carry output from the second to fourth logical inputs. A first signal is generated from at least the logical output, a second signal from at least the first logical input, a third signal from at least a 4-2 carry input signal, and a fourth signal from at least the 4-2 carry input signal. A multiplexer selects one of the second and third signals depending on the first signal to produce a carry output signal. An exclusive OR circuit produce an exclusive-ORed result from the logical output and the fourth signal.
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This application is a division of application Ser. No. 10/177,180, filed Jun. 24, 2002, now a U.S. Pat. No. 6,836,147, and based on Japanese Patent Application No. 2001-191770, filed Jun. 25, 2001, and Japanese Patent Application No. 2002-179301, filed Jun. 20, 2002, by Shogo Nakaya. This application claims only subject matter disclosed in the parent application and therefore presents no new matter.
BACKGROUND OF THE INVENTION1. Field of the Invention
The present invention relates to a reconfigurable device in which various functions can be implemented by a user, and in particular to a function block which is a logic function constituting unit. More specifically, the present invention relates to a function block suitable for implementing a multiplier and a multiplexer. In this specification, a circuit bearing a main portion of a logic function in a programmable function cell is referred to as a function block.
2. Description of the Related Art
Recently, reconfigurable devices such as a PLD (programmable logic device), FPGA (field programmable gate array) and the like in which various functions can be set by a user have been rapidly developed. With increase of degree of integration and speed, such a reconfigurable device is expected to be used not only for emulation during the designing of ASIC (application-specific integrated circuit) or substitution of a simple peripheral circuit but also for a reconfigurable computer whose hardware structure can be changed depending on an application.
However, a multiplier that is frequently used in computing cannot be effectively realized by a conventional PLD or FPGA, which is one of the causes disturbing practical use of a reconfigurable computer. Furthermore, the conventional PLD and FPGA cannot effectively realize a multi-input multiplexer (MUX). Owing to this, it has been impossible to obtain a compact barrel shifter, for example, used for floating-point addition/subtraction.
X=x7x6x5x4x3x2x1x0 by Y=y3y2y1y0 to produce
Z=z11z10z9z8z7z6z5z4z3z2z1z0 that is the product of X and Y, where each of xi, yi or zi represents (i+1)-th bit of binary data X, Y and Z, and is 0 or 1 (i=0, 1, 2, . . . ). For example, the notation of x7x6x5x4x3x2x1x0 represents a bit arrangement of binary data X. As is clear from
The function block 4 of
With regard to the 2-input MUX, see
The multiplier of
As has been described above, the multiplier unit 76 of
In addition to the function block shown in
In order to solve the aforementioned problem, U.S. Pat. No. 5,754,459 discloses a method for implementing a multiplier using the modified Booth algorithm and the Wallace Tree into a PLD. However, this multiplier has disadvantages that its circuit configuration is complicated, a plenty of wiring resources is needed, and the area reduction effect is small.
Furthermore, the conventional FPGA has a problem that multi-input (3-input or more in this specification) MUX cannot be effectively realized. As shown in
From this reason, for example, for realizing a 4-input MUX having a high usability by the conventional FPGA, as shown in
Thus, in order to realize a 4-input MUX by using the conventional FPGA, it is necessary to use two function blocks, resulting in an increase in occupied area. Japanese Patent Laid-open Publication No. 11-24891, Japanese Patent Laid-open Publication Nos. 11-122096 and 11-353152 disclose a completely different type of function block not using the 4-input LUT. However, even with this function block, it is impossible to realize a 4-input MUX in one block.
The floating-point addition/subtraction is performed by using a barrel shifter, which is composed of a large number of MUX'es. When implementing it in the FPGA, such a scheme that a single function block corresponds to one 2-input MUX is inefficient, resulting in increased area. It is desired to realize a 4-input MUX with one function block, thereby greatly improving the efficiency.
A first problem is that when a multiplier is configured by using a conventional function block, the multiplier area and signal propagation delay are increased. When a multiplier unit consisting of a 1-bit full adder and an AND gate is made by one function block, it is necessary to use great many function blocks to complete the entire multiplier.
A second problem is that when constructing a multi-input multiplexer using a conventional function block, the area is increased. Since only one 2-input MUX can be implemented in one function block, plural function blocks should be used to constitute a multi-input MUX.
SUMMARY OF THE INVENTIONIt is therefore an object of the present invention to provide a function block capable of realizing a compact and high-speed multiplier.
Another object of the present invention is to provide a function block capable of realizing a compact multi-input multiplexer.
According to the present invention, a 4-2 carry block is added to a known function block so as to be used as a 4-2 adder. Furthermore, a preposition logic circuit is added so that an AND-attached 4-2 adder can be realized in one function block. Moreover, an XOR (exclusive OR) and an MUX (multiplexer) are combined with each other so as to constitute a function block, which can also be used as an AND-attached 4-2 adder. Furthermore, by using a MUX as a preposition logic circuit, a multi-input MUX (for example, 4-input MUX) can be realized in one function block.
According to a first aspect of the present invention, a function block includes: a logical function generator having four logical input terminals and one logical output terminal, for generating a logical output signal from first, second, third, and fourth logical input signals thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data; a 4-2 carry block for generating a 4-2 carry output signal from the second, third, and fourth logical input signals; a first signal generator for generating a first signal from at least the logical output signal; a second signal generator for generating a second signal from at least the first logical input signal; a third signal generator for generating a third signal from at least a 4-2 carry input signal; a fourth signal generator for generating a fourth signal from at least the 4-2 carry input signal; a selector for selecting one of the second and third signals depending on the first signal to produce a carry output signal; and an exclusive OR circuit for performing an exclusive OR function on the logical output signal and the fourth signal to produce an output of the function block.
Several embodiments of the first-aspect function block are shown in the accompanying drawings, for example,
Taking
The first signal generator corresponds to a wire connecting the output out as the first signal to the control input of a MUX 22c that corresponds to the selector. Alternatively, taking
The second signal generator, as shown in
The third signal generator, as shown in
The fourth signal generator, as shown in
According to a second aspect of the present invention, a function block includes: a first exclusive OR circuit for performing an exclusive OR function on a first input signal and a second input signal; a second exclusive OR circuit for performing an exclusive OR function on a third input signal and a fourth input signal; a 4-2 carry block for generating a 4-2 carry output signal from at least, one of the first and second input signals and one of the third and fourth input signals; a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit; a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit; a second signal generator for generating a second signal from at least one of the first and second input signals; a third signal generator for generating a third signal from a first multiple-signal group including a 4-2 carry input signal and at least one logical input signal; a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input signal and at least one logical input signal; a selector for selecting one of the second and third signals to produce a carry output signal depending on the first signal; and a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
Several embodiments of the second-aspect function block are shown in the accompanying drawings, for example,
Taking
The first signal generator is basically similar to that of the first-aspect function block. For example, in
The second signal generator is basically similar to that of the first-aspect function block. For example, in
The third signal generator is basically similar to that of the first-aspect function block. For example, in
The fourth signal generator is basically similar to that of the first-aspect function block. For example, in
FIG. 8(1) is a circuit diagram showing a first example of a 4-2 carry block 41; FIG. 8(2) is a circuit diagram showing a second example of the 4-2 carry block 41; FIG. 8(3) is a circuit diagram showing a third example of the 4-2 carry block 41; FIG. 8(4) is a circuit diagram showing a fourth example of the 4-2 carry block 41; FIG. 8(5) is a circuit diagram showing a fifth example of the 4-2 carry block 41; FIG. 8(6) is a circuit diagram showing a sixth example of the 4-2 carry block 41; and FIG. 8(7) is a circuit diagram showing a seventh example of the 4-2 carry block 41.
FIG. 16(1) is a block diagram showing an example of complete-tree type multi-bit multi-argument adder using a 4-2 adder; and FIG. 16(2) is a block diagram showing an example of complete-tree type multi-bit multi-argument adder using a full adder.
FIG. 17(1) is a block diagram showing an example of completely cascaded type multi-bit multi-argument adder using the 4-2 adder; and FIG. 17(2) is a block diagram showing an example of completely cascaded type multi-bit multi-argument adder using the full adder.
FIG. 31(1) is a block diagram showing an example of a complete-tree type multiplier using a multi-bit 4AND4-2 adder 26; and
FIG. 37(1) shows a shift arrangement of a completely cascaded type multiplier using a multi-bit 2AND4-2 adder; and FIG. 37(2) shows a horizontal arrangement of the completely cascaded type multiplier using the multi-bit 2AND4-2 adder.
FIG. 60(1) shows symbols of an XOR; and FIG. 60(2) shows a configuration example of the XOR.
FIG. 62(1) is a circuit diagram showing a first example of a 4-2 carry block; FIG. 62(2) is a circuit diagram showing a first example of a carry block.
FIG. 63(1) is a circuit diagram showing a second example of the 4-2 carry block; FIG. 63(2) is a circuit diagram showing a second example of the carry block.
FIG. 64(1) is a circuit diagram showing a 4-input LUT composed of two 3-input LUT's; FIG. 64(2) is a circuit diagram showing a 3-input LUT composed of two 2-input LUT's.
FIG. 74(1) shows an equivalent circuit of the function block of
Hereafter, the preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings.
1. First Embodiment
1.0) Programmable Function Cell
The programmable function cells 1 are arranged in a two-dimensional array on a reconfigurable device, and they are interconnected by an interconnection wire group 2.
The input block 3 is composed of a plurality of input selection units (here, four input selection units 3_0, 3_1, 3_2, and 3_3). Each of the input selection units selects a signal on one wire from the interconnection wire group 2 and outputs the selected signal to the function block 4. Outputs of the input selection units 3_0, 3_1, 3_2 and 3_3 are connected to inputs i0, i1, i2 and i3 of the input block 4, respectively. The output block 5 is supplied with outputs ol, os and oc of the function block 4 and a clock signal clk as inputs and outputs a signal selected from ol, os and oc to a wire selected from the interconnection wire group 2 directly or after temporarily storing in a register. When the programmable function cell is not used, the output block 5 may not output any signal to the interconnection wire group. Selection of a wire or a signal in the input block 3 and in the output block 5 is determined by configuration data set by a user.
1.1) Input Selection Unit
Other than this, the programmable switch 10 can be constructed by various ways. For example, see Japanese Patent Application Laid-open No. 11-353152.
Similarly to the case of the aforementioned first example, all the wires of the interconnection wire group passing through the input selection unit 3_k are not necessarily connected to the multiplexer 20. Moreover, the connection between the interconnection wire group 2 and the multiplexer 20 may be different in each of the input selection units.
1.2) Function Block (First Embodiment)
The function block 4 according to the present embodiment is provided with a logic function generator 40, a 4-2 carry block 41, a 2-input MUX 22c, and an exclusive-OR circuit (XOR) 30. Inputs i1, i2, and i3 of the function block 4 are respectively connected to inputs in1, in2 and in3 of the logic function generator 40 and to inputs in1, in2 and in3 of the 4-2 carry block 41. An input i0 of the function block 4 is connected to input in0 of the logic function generator 40 and to an input-0 of the MUX 22c. An output out of the logic function generator 40 is connected to a control input of the MUX 22c and to a first input of the XOR 30. In addition, the output out of the logic function generator 40 also becomes a logic output ol of the function block 4.
A 4-2 carry input i42 of the function block 4 is connected to an input-1 of the MUX 22c and to a second input of the XOR 30. An output of the 4-2 carry block 41, an output of the XOR 30, and an output of the MUX 22c are a 4-2 carry output o42, an addition output os, and a carry output oc of the function block 4, respectively. Since the MUX 22c has been explained above, its explanation is omitted here (see
The logic function generator 40 is a circuit that can implement various logic functions depending on data stored in a built-in configuration memory (not shown). Typically, a 4-input LUT as shown in
The 4-2 carry block 41 is a circuit that makes a carry signal that is generated when adding the inputs in1, in2 and in3. Hereinafter, several examples of the 4-2 carry block 41 will be described with reference to
FIG. 8(1) is a circuit diagram showing a first example of the 4-2 carry block 41. The AND 31a uses inputs in3 and in1 to perform an AND function thereon and outputs its result to an OR circuit (OR) 32. Similarly, the AND 31b uses in1 and in2 to output its ANDed result to the OR 32, and the AND 31c uses in2 and in3 to output its ANDed result to the OR 32. The OR 32 performs an OR function on these three inputs to output the 4-2 carry signal o42. As can be seen from this configuration, the 4-2 carry block 41 is symmetric with respect to inputs in1, in2 and in3 (that is, the output does not change even if the inputs are replaced by each other).
FIG. 8(2) is a circuit diagram showing a second example of the 4-2 carry block 41. An output of the AND 31 using in2 and in3 as inputs is connected to a input-0 of a MUX 22; an output of an OR 33 using in2 and in3 as inputs is connected to an input-1 of the MUX 22; an input in1 is used as a control input of the MUX 22; and an output of the MUX 22 serves as out.
FIG. 8(3) is a circuit diagram showing a third example of the 4-2 carry block 41. An output of an AND 31b using in2 and in3 as inputs is connected to a first input of an OR 33b; an output of an OR 33a using in2 and in3 as inputs is connected to a first input of an AND 31a; the input in1 serves as a second input of the AND 31a; an output of the AND 31a is connected to a second input of the OR 33b; and an output of the OR 33b serves as out.
FIG. 8(4) is a circuit diagram showing a fourth example of the 4-2 carry block 41. In this fourth example, the OR 33a in the third example is replaced by the XOR 30.
FIG. 8(5) is a circuit diagram showing a fifth example of the 4-2 carry block 41. An output of the XOR 30 using in2 and in3 as inputs serves as a control input of the MUX 22; in2 (or in 3) is connected to the input-0 of the MUX 22; in1 serves as the input-1 of the MUX 22; and an output of the MUX 22 serves as out.
FIG. 8(6) is a circuit diagram showing a sixth example of the 4-2 carry block 41. An output of a NAND 34 using in2 and in3 as inputs is connected to the input-0 of the MUX 22; an output of an NOR 35 using in2 and in3 as inputs is connected to the input-1 of the MUX 22; the input in1 serves as a control input of the MUX 22; and an inverted output of the MUX 22 serves as out. In this example, the output of each logic gate 31, 33 and 22 in the second example is inverted. In general, with regard to a logic gate, as compared to an AND and an OR, an NAND and an NOR whose outputs are inverted can be made easily and the delay is smaller. Accordingly, the sixth example is superior to the second example with respect to the area and the delay.
FIG. 8(7) is a circuit diagram showing a seventh example of the 4-2 carry block 41. An output of the NAND 34 using in2 and in3 as inputs is connected to a first input of an OAI (OR-AND-INVERT) 36; an output of the NOR 35 using in2 and in3 as inputs is connected to a second input of the OAI 36; an output of an inverter 37 using in1 as the input is connected to a third input of the OAI 36; and an output of the OAI 36 serves as out. Here, the OAI 36 is a logic gate outputting an NAND-ed result of the first input and an OR-ed result of the second and the third input. This can also be formed by combining separated OR and NAND but sometimes it is better to form it as an indivisible logic gate from the viewpoint of occupied area and propagation delay. In the seventh example, outputs of the respective logic gates of the third example are inverted.
In addition to the examples of
1.3) Output Block
The outputs of the register blocks 42a, 42b and 42c are connected to inputs of output selection units 5_2, 5_1 and 5_0, respectively. The respective output selection units 5_0, 5_1 and 5_2, in accordance with the configuration data, output the input signals in to one or more wires of the interconnection wire group 2 or do not output to any of them. The register blocks 42c, 42b and 42a have some control inputs (in
The D-FF 38 is supplied with the clock signal clk and several control signals. Here, the two control inputs of the register block 42 are ctl1 and ctl2. There are various types of control input of the D-FF. For example, a clock enable e and a set/reset sr can be used with a high usability. The control input of the MUX 22s is connected with an output of the configuration memory 13s and, in accordance with the content of the configuration memory 13s, the input in is output to out directly or after being registered in the D-FF in synchronization with the clock signal clk.
In this disclosure, if the two inputs are connected to the MUX regardless of which is connected to input-0 (or input-1), symbols 0 and 1 of the MUX are in some cases omitted as in the MUX 22s of
The output selection units 5_0 and 5_1 are respectively connected to even-numbered wires and odd-numbered wires of the interconnection wire group 2 (six wires are shown in
As compared to the first example (
In the function block 4 shown in
Moreover, in the second example of the output block 5 (
In this manner, while assuring routability, the number of the programmable switches 10 in the output selection unit can be reduced by half, thereby decreasing the occupied area.
In the example of
However, such an arrangement in
1.4) Operation
Next, an operation and effect of the programmable function cell having the aforementioned configuration will be described. The programmable function cell has a logic operation mode and a 4-2 adder operation mode.
1.4.1) Logic Mode
The first operation mode is similar to the programmable function cell in the conventional PLD and FPGA; that is, the cell is used as a component of various circuits that are implemented on a reconfigurable device by setting various logic functions. This operation mode is called a logic mode.
In the logic mode, in the programmable function cell 1 of
1.4.2) 4-2 Adder Mode
The second operation mode is to use the programmable function cell 1 of
Thus, the function block 4 having the logic function generator 40 where the 4-input XOR 24 is implemented has a function identical to that of a 4-2 adder as shown in
(Equivalent Circuit of 4-2 Adder)
In
In the 4-2 adder mode, the function block 4 of
(Use and Advantage of 4-2 Adder)
In
Complete-tree Multi-bit Multi-argument Adder
FIG. 16(1) is a block diagram showing an example of a complete-tree-type multi-bit multi-argument adder using the 4-2 adder. Here is exemplified a multi-bit multi-argument adder that produces an addition result of 16 pieces of multi-bit data: C, D, E, F, G, H, I, J, K, L, M, N, 0, P, Q and R.
First, the multi-bit data C, D, E and F are input to multi-bit argument inputs I3, I2, I1 and I0 of the multi-bit 4-2 adder circuit 45_1, respectively (this is the same as the example shown in
Next, a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_2, and a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_1 are input to the multi-bit argument inputs I0, I1, I2 and I3 of the multi-bit 4-2 adder circuit 45_5, respectively. Moreover, a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_4, and a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_3 are input to the multi-bit argument inputs I0, I1, I2 and I3 of the multi-bit 4-2 adder circuit 45_6, respectively.
Next, a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_6, and a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_5 are input to the multi-bit argument inputs I0, I1, I2 and I3 of the multi-bit 4-2 adder circuit 45_7, respectively. Lastly, a multi-bit addition output OS and a multi-bit carry output OC of the multi-bit 4-2 adder circuit 45_7 are input to the multi-bit argument inputs A and B of a multi-bit full adder circuit 46, respectively. Finally, an addition result of the multi-bit data C, D, E, F, G, H, I, J, K, L, M, N, 0, P, Q and R is yielded as a multi-bit addition output S of the multi-bit full adder 46.
As is found from FIG. 16(1), the multi-bit 4-2 adder circuit 45 has a function of reducing four inputs to two outputs. By utilizing this function, by halving the number of pieces of data to be added in each stage, and the last two remaining pieces of data are added by an ordinary multi-bit full adder to yield a final addition result. This is the way of the multi-bit multi-argument adder of FIG. 16(1). Accordingly, the multi-bit full adder is certainly required at the last stage. Detailed description using the programmable function cell according to the present invention will be given later.
The respective 4-2 adders 44 constituting the aforementioned multi-bit 4-2 adder circuit 45 (see
On the other hand, in the conventional function block (see
Now the function block of the present invention (as shown in
From the aforementioned fact, when adding the same number of values, the programmable function cell of the present invention needs only one-half the area required for the conventional programmable function cell (aside from the multi-bit full adder of the last stage). Moreover, with regard to delay, as compared to the conventional programmable function cell in which two cells are connected in series to configure one 4-2 adder, the delay of the programmable function cell of the present invention is halved (aside from the multi-bit full adder of the last stage).
In the multi-bit multi-argument adder of FIG. 16(1), a delay from the data input until the last addition result is obtained corresponds to the four stages of computation blocks from the first to the fourth, as shown in the figure. Moreover, only eight computation blocks 45_1 to 45_7 and 46 are needed in total.
FIG. 16(1) shows a specific example of multi-bit 16-argument adder but this is only one example. In general, when adding 2k pieces of multi-bit data, the number of values is reduced to 2k−1 by the computation block of the first stage (consisting of 2k−2 multi-bit 4-2 adders), and to 2k−2 by the computation block of the second stage (consisting of 2k−3 multi-bit 4-2 adders). Thus, the number of values is reduced by half in each stage and when the number of values has become 2 through the computation block of the (k−1)-th stage (one multi-bit 4-2 adder), the two pieces of data are added by using the multi-bit full adder to yield a final result. Here, 2k−1-1 multi-bit 4-2 adders are used in total and the delay is determined by k−1 stages of the computation block (except the multi-bit full adder of the last stage). When the number of input data, 2k, is large, the area occupied by the multi-bit full adder and the delay at the last stage occupy only a small ratio as a whole. Such a complete-tree multi-bit multi-argument adder is characterized in that it has the smallest delay as compared to the other types of multi-bit multi-argument adder which will be detailed later.
The complete-tree type multi-bit multi-argument adder using the 4-2 adder has been described. In addition, there are various types of complete-tree type multi-bit multi-argument adder. Among them, the one most suitable for the conventional function block (
FIG. 16(2) is a block diagram showing an example of complete-tree type multi-bit multi-argument adder using a full adder. Here, there is exemplified a complete-tree type multi-bit multi-argument adder using multi-bit full adders 46_1 to 46_15. In the conventional function block (
However, the number of computation blocks, i.e., the occupied area of FIG. 16(1) is one-half that of FIG. 16(2) again. The complete-tree type multi-bit multi-argument adder as shown in FIG. 16(1) has an advantage that it has a highest speed but also has a disadvantage that wiring is irregular and complicated. The complexity of the wiring increases rapidly as the number of pieces of data to be added is increases, i.e., as the number of stages of the computation blocks increases. In general, in reconfigurable devices, interconnection resources are equally allocated to the respective programmable function cells arranged in a two-dimensional array. Accordingly, it is difficult to implement a circuit such as the complete-tree multi-bit multi-argument adder that uses a great number of pieces of data in which a plenty of very complicated wiring resources are consumed partially.
Completely Cascaded Tree Multi-bit Multi-argument Adder
FIG. 17(1) is a block diagram showing an example of completely cascaded type multi-bit multi-argument adder. This has a function completely identical to that of the complete-tree type multi-bit multi-argument adder of FIG. 16(1). The multi-bit argument inputs I3, I2, I1 and I0 of the multi-bit 4-2 adder circuit 45_1 in the first stage are respectively supplied with multi-bit data C, D, E and F; and the multi-bit argument inputs I3, I0, I2 and I1 of the multi-bit 4-2 adder circuit 45_2 in the second stage are respectively supplied with multi-bit data G and H and multi-bit outputs OC and OS from the first stage. After this, likewise, it is repeated that multi-bit argument inputs of the multi-bit 4-2 adder circuit 45_k in the k-th stage are supplied with two pieces of multi-bit data and multi-bit outputs OC and OS from the (k−1)-th stage. And at the last stage, multi-bit outputs OC and OS from a preceding stage are added by the multi-bit full adder 46 and a final addition result is yielded as a multi-bit addition output S.
FIG. 17(1) shows an example when the number of the multi-bit data is 16. However, it is possible to create a completely cascaded type multi-bit multi-argument adder for an arbitrary number of pieces of data in the same way. In general, when the number of pieces of the multi-bit data is 2k, 2k−1-1 multi-bit 4-2 adders are required for the completely cascaded type multi-bit multi-argument adder. This is the same situation as the complete-tree type multi-bit multi-argument adder.
As is seen from
With regard to delay, the completely cascaded type multi-bit multi-argument adder has a delay for 2k−1-1 stages of computation blocks (multi-bit 4-2 adders), which is large as compared to a delay of the complete-tree type multi-bit multi-argument adder having computation blocks of k−1 stages (except the multi-bit full adder at the last stage). However, this makes little difference when k is small. Furthermore, the delay is calculated only by the number of stages of the computation blocks but the completely cascaded type multi-bit multi-argument adder has a merit that an interconnection delay is much smaller than that of the complete-tree type. Accordingly, when the number of pieces of data is small, the completely cascaded type almost ranks with the complete-tree type with regard to delay.
When the completely cascaded type multi-bit multi-argument adder using the 4-2 adder as shown in FIG. 17(1) is configured by using the conventional function block (
FIG. 17(2) is a block diagram showing an example of completely cascaded multi-bit multi-argument adder using the multi-bit full adder. In this case, the number of computation blocks and the number of stages of the computation blocks are doubled as compared to the case using the 4-2 adder (FIG. 17(1)). In either case, the completely cascaded multi-bit multi-argument adder, unlike the complete-tree type, the area and the delay can be halved by using the programmable function cell of the present invention.
As has been detailed above, the complete-tree type operates at higher speeds but its wiring is complicated; while the completely cascaded type has simple wiring but its delay is larger. Especially in the completely cascaded type, as the number of pieces of data to be added increases, the delay is greatly increased, as compared to the complete-tree type. In order to solve this problem, a semi-cascaded type multi-bit multi-argument adder is proposed as described hereinafter.
Semi-cascaded Multi-bit Multi-argument Adder
The number of computation blocks used in this example is identical to that of the complete-tree type and the completely cascaded type as described above. Moreover, the delay corresponds to four stages of computation blocks except the multi-bit full adder of the last stage. Therefore, the delay is about one-half that corresponding to seven stages of computation blocks in the completely cascaded type.
Secondary Cascaded Multi-bit Multi-argument Adder
The multi-bit 4-2 adder circuits 45_1 and 45_2 constitute a first completely cascaded multi-bit multi-argument adder; the multi-bit 4-2 adder circuits 45_3 and 45_4 constitute a second completely cascaded multi-bit multi-argument adder; the multi-bit 4-2 adder circuits 45_5, 45_6 and 45_7 constitute a third completely cascaded multi-bit multi-argument adder; and the multi-bit 4-2 adder circuits 45_8, 45_9, 45_10 and 45_11 constitute a fourth completely cascaded multi-bit multi-argument adder. These will be called altogether a first layer of completely cascaded type multi-bit multi-argument adders.
Multi-bit 4-2 adders 45_12, 45_13 and 45_14 constitute a second layer of completely cascaded type multi-bit multi-argument adders, which is supplied with the outputs of the first layer of completely cascaded type multi-bit multi-argument adders as data pieces to be added. The semi-cascaded type multi-bit multi-argument adder as shown in
As the number of pieces of addend/augend data is increased in the semi-cascaded type multi-bit multi-argument adder, the number of stages in the first layer of completely cascaded type multi-bit multi-argument adders is proportionately increased, thereby increasing the delay. The entire delay increase can be suppressed as follows. Instead of increasing the number of stages in the first layer, a plenty of completely cascaded type multi-bit multi-argument adders having a small number of stages are prepared as shown in
In
Description has been given on the secondary cascaded type multi-bit multi-argument adder. It is also possible to increase the number of layers to provide a higher-order cascaded type multi-bit multi-argument adder.
Higher-order Cascaded Multi-bit Multi-argument Adder
In
Multiplier
There is a large demand for a compact high-speed multi-bit multi-argument adder as a main block of a multiplier. In general, multiplication consists of two parts: generation of partial products and addition of the partial products. For the addition of the partial products, the multi-bit multi-argument adder is used. On the other hand, for partial product generation, a method using the modified Booth algorithm is often used.
In a current custom design LSI, what is used most is a multiplier using the modified Booth partial product generator in combination with the complete-tree type multi-bit multi-argument 4-2 adder as shown in FIG. 16(1) (hereinafter, a multi-bit multi-argument adder using the 4-2 adder will be particularly referred to as a “multi-bit multi-argument 4-2 adder”). However, this is not the best way in a reconfigurable device. Its reason will be described below.
A multiplier that is used most in the conventional FPGA is the one using a multi-bit full adder as shown in
On the other hand, in the case of a multiplier using the modified Booth partial product generator and the multi-bit multi-argument 4-2 adder, the required number of computation blocks is about 3m/4. And the partial product generation unit 47 can be implemented in one row of the programmable function cells according to the present invention. Thus, the multiplier using the modified Booth partial product generator and the multi-bit multi-argument 4-2 adder implemented in the programmable function cell of the present invention occupies about three quarters (¾) the area required for the conventional FPGA multiplier. The area surely becomes smaller but with slight difference. And the former multiplier has more complicated configuration than the latter and requires more wiring resource. Accordingly, there may be little merit if the area reduction is small.
Thus, the method optimal for the custom design LSI is not always optimal for the reconfigurable device. In the custom design LSI, a circuit can be formed with a free shape and arrangement and it is possible to optimally fabricate an arbitrary circuit. On the other hand, in the case of the reconfigurable device, a programmable function cell is used as a configuration unit, in which each circuit should be implemented. Furthermore, the reconfigurable device is under strong restriction with regard to the wiring resource as compared to the custom design LSI. From these differences, as in the aforementioned example, the method optimal for the custom design LSI is not always optimal for the reconfigurable device.
Next, a more compact multiplier suitable for a reconfigurable device and a function block used therefore will be described in detail hereafter.
2. Second Embodiment
2.1) Function Block
In
Inputs i00, i01, i11, i12, i20, i21, i30, i31 and i32 of the function block shown in
On the other hand, in the preposition logic circuit 29 of
2.2) Input Selection Unit with Fixed Value
Moreover, an output q of a configuration memory 13a is connected to the gate terminal of the PMOS transistor 17, and an output q of the other configuration memory 13b is connected to the gate terminal of the NMOS transistor 16, respectively. When the respective configuration memories 13a and 13b store logical values of 1 and 0, the fixed logical value supply switch 19 has its output at a high impedance state. When both of the configuration memories store a logical value of 0, the fixed logical value supply switch 19 outputs a logical value of 1. When both of the configuration memories store a logical value of 1, the fixed logical value supply switch 19 outputs a logical value of 0.
In this specification, the power voltage, the ground, the output of the configuration memory, and a signal uniquely determined by them are called a fixed logical value or a fixed value, and the other signals are called dynamic signals.
By connecting the aforementioned input selection unit having a fixed logical value, it becomes possible to use one logic circuit as various logic circuits. One of the simplest examples is the AND 31 in the preposition logic circuit 29 of
On the other hand, when the input selection unit with a fixed value connected to the input i00 is set so as to output a fixed logical value of 1 and the input selection unit with a fixed value connected to the input i01 is set so as to output one of the signals on the interconnection wire group 2, the AND 31 functions as a circuit outputting the input i01 as it is.
The AND is allowed to implement only these two functions therein, but more functions can be implemented in the MUX 22f in the preposition logic circuit 29 of
2.3) Logic Functions of MUX
Moreover, the preposition logic circuit is not necessarily attached to all of the inputs i0 to i3. For example, as will be detailed later, a function block in which the preposition logic circuit is attached to only two of the inputs i0 to i3 is also another embodiment with high usability.
2.4) 4AND4-2 Adder
Multiplier
As is seen from
Moreover, a 4-2 carry output o42 and a carry output oc of the 4AND4-2 adder 25k at the most significant bit (eleventh bit in
Complete-tree Multiplier
FIG. 31(1) is a block diagram showing an example of a complete-tree type multiplier using the multi-bit 4AND4-2 adder 26. Here, M is a multiplicand, and N0, N1, N2 and N3 are respectively first to fourth bits, fifth to eighth bits, ninth to twelfth bits, and thirteenth to sixteenth bits of a multiplier. The multi-bit 4AND4-2 adders 26_1 to 26_4 of the first stage perform generation of partial products using the AND and addition of the partial products by the 4-2 adder in one computation block. The outputs from the first stage are added by the complete-tree type multi-bit multi-argument 4-2 adder (second to fourth stages in FIG. 31(1)) to yield a final multiplication result.
FIG. 31(1) shows an example in the case where a multiplier has sixteen bits. In general, in the case of an m-bit multiplier, a multiplier device is composed of m/4 multi-bit 4AND4-2 adders 26_1 to 26_(m/4), m/4-1 multi-bit 4-2 adders 45_1 to 45_(m/4-1), and the multi-bit full adder 46. Accordingly, the multiplier device can be composed of m/2 computation blocks in total. On the other hand, as has been described above, when a multiplier device is composed by using the modified Booth partial product generator and the multi-bit multi-argument 4-2 adder, it is necessary to use 3m/4 computation blocks.
Thus, it is possible to realize a multiplier device with a reduced number of programmable function cells by using the function block according to the second embodiment of the present invention to constitute the multiplier device with the multi-bit 4AND4-2 adder and the multi-bit multi-argument 4-2 adder.
FIG. 31(1) is an example using the complete-tree type multi-bit multi-argument 4-2 adder. It is also possible to constitute a multiplier using the multi-bit 4AND4-2 adder by using the other type of multi-bit multi-argument 4-2 adder.
FIG. 31(2) is a block diagram showing an example using the completely cascaded type multi-bit multi-argument 4-2 adder. In this example, outputs of the multi-bit 4AND4-2 adders 26—1 to 26_4 are input as to-be-added data of the completely cascaded multi-bit multi-argument 4-2 adder composed of computation blocks 45_1, 45_2, 45_3 and 46. In general, a multiplier can be configured by adding the output of the multi-bit 4AND4-2 adder by using an arbitrary type of multi-bit multi-argument 4-2 adder. For any of the types, the number of programmable function cells is the same.
In the function block 4 of
As is seen from
2.5) Modified Example of Second Embodiment (1)
2AND4-2 Adder
Multiplier
In
With regard to multiplication using the same multiplier, a multiplier device composed of the multi-bit 2AND4-2 adders connected in cascade requires only half of the number of rows as compared to a multiplier composed of the multi-bit full adders of
Moreover, in the circuit composed of a plurality of stages of the multi-bit 2AND4-2 adders connected in cascade, the first stage and the second stage can be replaced with one 4AND4-2 adder, thereby reducing the number of computation blocks by one stage.
In the completely cascaded type multiplier (
These circuits shown in
In
When only most significant half is required, as shown in FIG. 37(2), the multi-bit 2AND4-2 adders are horizontally arranged, which can reduce the substantial multiplier area and eliminate the unnecessary space. This works most effectively in the completely cascaded multiplier of the 2AND4-2 adders. If the multi-bit 2AND4-2 adders are connected in other way, then a computation block having a large bit width is required and therefore the arrangement of FIG. 37(2) cannot reduce the multiplier area so much.
4-Input MUX
Next, explanation will be given on the other effect of the function block equipped with a preposition logic circuit as shown in
Moreover, instead of replacing the AND 31 of
As shown in
The function block of
Alternatively, by configuring the logic function generator 40 to output a fixed logical value of 0, it is possible to take out an output of the 4-input MUX of this method as an addition output os via the XOR 30. In this configuration, one 4-input MUX strides over the two function blocks 4a and 4b. However, the programmable function blocks 4a and 4b can further be used as a part of other 4-input MUX and accordingly, one 4-input MUX can be formed substantially per one programmable function block.
Next, explanation will be given on still another configuration of the 4-input MUX. In
When the 4-2 carry block 41 is a 3-input LUT, it is easy to configure so as to output one input directly. However, even when the 4-2 carry block 41 is a circuit dedicated for generating a carry signal as shown in
And now, when using the input i2 of the function block as the control input of the MUX 22c, the control signal should go through the logic function generator 40, thereby increasing the delay. This problem can be overcome by using a function block as shown in
2.6) Modified Example of the Second Embodiment (2)
The MUX 22d is controlled by a configuration memory 13d. When the configuration memory 13d stores a logical value of 1, the MUX 22c is controlled by an output of the logic function generator 40. When the configuration memory stores a logical value of 0, the MUX 22c is controlled by a control input i50. The latter control can be performed faster and is suitable for configuring the 4-input MUX of high performance. Moreover, when controlling the MUX 22c with the i50, by inputting a fixed logical value of 0 as the i50, it is possible to output the input i00 or i01 of the function block 4 via the input-0 of the MUX 22c to the carry output oc. Thus, it is possible to output the input of the function block 4 at a high speed by bypassing the logic function generator 40. Such a signal bypass is used when using only the D-FF in the output block 5 of the programmable function cell as shown in
The same can be performed in the function block (4a or 4b) of
3. Third Embodiment
3.1) Function Block
The function block 4 according to the present embodiment has the same function as the function block 4 of
Furthermore, the function block 4 according to the present embodiment can also be used as a 1-bit full adder by using the MUX 22c as a ripple carry circuit. For this, logical values 1 and 0 are stored in the configuration memories 13d and 13g, respectively, and an XOR having inputs in1 (or in2) and in0 is implemented in the logic function generator 40. Here, the in1 (or in2) and in0 of
3.2) Modified Example of Third Embodiment
The input-0 and input-1 of the MUX 22c are connected with an output and a 4-2 carry input 42 of the MUX 22m, respectively, and an output of the AND 31d supplied with an output of the logic function generator 40 and an output of the configuration memory 13d is connected to a control input of the MUX 22c. When the configuration memory 13d stores a logical value of 0, the function block 4 of
On the other hand, when the control input i50 is supplied with a fixed logical value of 0 and the configuration memory 13d stores a logical value of 1, the same function as the function block 4 of
In
In
Explanation has been given on the embodiment of the present invention in which a 4-input MUX can be implemented in one (or substantially one) function block. Next, explanation will be given on a barrel shifter in which the merit is brought into good play.
3.3) Barrel Shifter
A barrel shifter is a circuit in which a shift amount of multi-bit data can dynamically be changed in accordance with a control signal and is mainly used in a floating point addition/subtraction.
As a whole, the barrel shifter of
In
If this is implemented in the conventional FPGA, as shown in
In contrast, when using the function block according to the present invention, it is possible to form a 4-input MUX with one function block. Accordingly, it is possible to implement a barrel shifter having the same function using one half of the conventional area. Moreover, as compared to the barrel shifter using the 2-input MUX in
4. Fourth Embodiment
4.1) Function Block
Thus, one function block according to the present embodiment can realize 8-input MUX. In order to use as the 8-input MUX, 0 is stored in both of configuration memories 13d and 13g. Here, an 8-input MUX is formed using the four MUXs 22a, 22b, 22e and 22f as an input stage, the two MUXs 22m and 22n as the second stage, and the MUX 22c as the output stage.
Moreover, the function block 4 according to the present embodiment can also realize the 4AND4-2 adder 25 shown in
Furthermore, in the same way as is the case with
4.2) Modified Example of the Fourth Embodiment
Thus, one function block 4 according to the present embodiment can realize an 8-input MUX. To use it as the 8-input MUX, a logical value of 0 is stored in the configuration memory 13d. Thus, an 8-input MUX is formed using the four MUX 22a, 22b, 22e and 22f of the preposition logic circuit as an input stage, the two MUX 22m and 22n as a second stage, and the MUX 22g as an output stage. The output of the output stage is taken out to oc via the MUX 22c.
Moreover, the function block 4 of
5. Fifth Embodiment
And now, in the full adder composed of the function block of the aforementioned
5.1) Function Block
The ripple carry block 50 can be realized using the same method as the 4-2 carry block 41. Accordingly, one of the circuits FIG. 8(1) to FIG. 8(7) can be used. Here, the inputs in1, in2 and in3 in FIG. 8(1), FIG. 8(2), FIG. 8(3). FIG. 8(6) and FIG. 8(7) correspond to the inputs c, b and a of the ripple carry block 50, respectively, and the input d is not used. The inputs in1, in2 and in3 and the output of the XOR 30 in FIG. 8(4) correspond to the inputs c, b, a and d of the ripple carry block 50, respectively. The inputs in1 and in2 and the output of the XOR 30 in FIG. 8(5) correspond to the inputs c, b and d of the ripple carry block 50 and input a is not used. The output out in each of the circuits of
When using the function block 4 of
The configuration memory 13h in
5.2) First Modified Example of the Fifth Embodiment
5.3) Second Modified Example of the Fifth Embodiment
When the configuration memory 13d stores a logical value of 1, the function block 4 of
When the configuration memory 13d stores a logical value of 0, it is possible to simultaneously implement a 3-input logic circuit using in1, in2 and in3 as inputs and ol as an output, and a bypass route for outputting the input i0 directly to oc. The bypass route is useful when increasing the routability and outputting an input signal as it is via D-FF (in the output block 5 of
When using the function block 4 of
The aforementioned configuration enabling simultaneous use of the 3-input logic circuit or the 1-bit full adder and the bypass route serves the purpose. In the function block 4 of
6. Sixth Embodiment
In the function block 4 of the present embodiment, when the logic function generator 40 is set so as to output a fixed logical value of 0, it is possible to constitute a 4-input MUX by the MUX 22a, 22f and 22m using the oc as an output. In
Although this flexibility is lost, this function block 4 can be also used as a 1-bit full adder by connecting the input b of the ripple carry block 50 directly to the input (for example, i0) of the logic function generator 40.
7. Seventh Embodiment
7.1) Function Block
In
When the input a or b is selected in the memory-equipped 3-input MUX 23, the function block 4 of the present embodiment has the same function as in the case where a logical value of 0 or 1 is stored in the configuration memory 13g in
Memory-equipped 3-Input MUX
When both of the configuration memories 13a and 13b store logical value of 0, only the transmission gate 12c is forced into conduction to output the input c to the out. The memory-equipped 3-input MUX 23 of
7.2) Modified Example of Seventh Embodiment
In
The inputs a and b of the ripple carry block 50 need be supplied with an input signal i0, i1, i2 or i3 of the logic function generator 40. For example, it is possible to connect them directly to these inputs or to the outputs of the MUX 22m and MUX 22n.
8. Eighth Embodiment
Next, explanation will be given on a function block according to an eighth embodiment of the present invention. This is an example of function block having a 2-bit carry look ahead circuit having a higher speed than the aforementioned ordinary ripple carry circuit.
8.1) Function Block
The function block 4a is the function block 4 of
When the configuration memories 13h of the function blocks 4a and 4b store a logical value of 0, these function blocks have a function identical to that of the function block of
When the configuration memories 13h of the function blocks 4a and 4b store a logical value of 1, these function blocks can be used as a 2-bit full adder using carry look ahead. For this, however, it is necessary to implement an XOR having inputs in0 and in3 in the logic function generators 40 of the function blocks 4a and 4b (in2 or in1 may be used instead of in3. In this case, the input connected to i3 of the AND 31 of the function block 4a is also reconnected to i2 or i1). Here, the inputs of the XOR implemented in the logic function generator 40 serve as argument inputs of the full adder of each bit; os serves as an addition output of the full adder of each bit; and irc and orc become the ripple carry input and the ripple carry output of the full adder, respectively.
The AO 51 in
8.2) Modified Example of Eighth Embodiment
The function block 4a is the function block 4 of
In the composite function block of
When the configuration memories 13h of the function blocks 4a and 4b store a logical value of 1, these function blocks can be used as a 2-bit full adder using carry look ahead. For this, however, it is necessary to implement an XOR having inputs in0 and in3 in the logic function generator 40 of the function blocks 4a and 4b. (The in3 may be replaced by in2 or in1. In this case, the input connected to the i3 of the AND 31 of the function block 4a is also reconnected to the i2 or i1.) In this case, the inputs of the XOR implemented in the logic function generator 40 serve as argument inputs of the full adder of each bit; os becomes an addition output of the full adder of each bit; and irc and orc become the ripple carry input and the ripple carry output of the 2-bit full adder, respectively.
The modified example shown in
9. Ninth Embodiment
When the configuration memory 13k stores a logical value of 1, the function block of
And now, in
On the other hand, even when the logic output ol is present as in
The insertion position of the AND 31k may be other than the position shown in
Explanation has been given on various function blocks according to the embodiments of the present invention. These are based on the function block of
10. Tenth Embodiment
The function block of the present invention that has been explained has the 4-2 carry block 41 and the MUX 22c for realizing the 4-2 adder 44 (
In general, the 4-2 adder is a circuit having five inputs i0, i1, i2, i3 and i42 and three outputs o42, oc and os, and (o42+oc)×2+os is equal to a sum of the five inputs. Its usage is identical to the case of
The 4-2 carry input i42 of the function block 4 is connected to the input in4 of the carry block 53 and to a second input of the XOR 30. The output of the 4-2 carry block 41, the output of the XOR 30 and the output of the carry block 53 respectively become the 4-2 carry output o42, the addition output os and the carry output oc of the function block 4. When using the function block 4 of
FIG. 62(1) and FIG. 62(2) are circuit diagrams showing a first example and a second example of the 4-2 carry block 41, respectively. FIG. 63(1) and FIG. 63(2) are circuit diagrams showing a first example and a second example of the carry block 53, respectively. The 4-2 carry block 41 and the carry block 53 may be any circuit as long as the sum of inputs i0, i1, i2, i3 and i42 is equal to (o42+oc)×2+os.
Needless to say, those skilled in the art can easily add the aforementioned preposition logic circuit to the inputs i0 to i3 of the function block of
Explanation has been given on a function block containing one 4-input logic function generator. As has been described above, a typical example of the 4-input logic function generator is the 4-input LUT (
As shown in FIG. 64(1), the 4-input LUT 40 is composed of two 3-input LUT'S 48 and an MUX 22 connecting them. Furthermore, as shown in FIG. 64(2), the 3-input LUT 48 is composed of two 2-input LUT's 49 and an MUX connecting them. Thus, in general, when the number of inputs is reduced by one, the LUT area is reduced by half or more and the delay from the input to the output is also shortened.
Next, explanation will be given on a function block using a logic function generator of 3-input or less and capable of constituting a 4-2 adder.
11. Eleventh Embodiment
11.1) Function Block
An output out of the 3-input logic function generator 48 is connected to a control input of an MUX 22c and to a first input of an XOR 30d and becomes a logic output ol of the function block 4. A 4-2 carry input i42 of the function block 4 is connected to an input-1 of the MUX 22c and to a second input of the XOR 30d. An input-0 of the MUX 22c The is connected with input i0 of the function block 4. Outputs of the XOR 30d and the MUX 22c respectively become an addition output os and a carry output oc of the function block 4.
An MUX 22j generates a 4-2 carry output o42 of the function block 4. The MUX 22j is controlled by the output of the XOR 30b, input-0 is connected to the input i3 (or i2), and input-1 is connected to the input i1. The circuit generating the 4-2 carry output o42 may be any circuit if it can generate carry signals (carry signals generated when adding three inputs) associated with the inputs i1, i2 and i3 and the MUX 22j is the most preferable example.
The function block shown in
In the 4-2 adder mode, the function block of
The function block shown in
As compared to the function block of
11.2) Modified Example of Eleventh Embodiment
More specifically, the MUX 22a, 22f and 22m, the AND 31d, and the configuration memory 13d in
Various variations of the function block including the 4-input logic function generator have been already detailed. They are based on the function block of
When adding a high-speed carry circuit to the function block of
12. Twelfth Embodiment
12.1) Function Block
Here the MUX 22k may be inserted at the position 61 of
The function block of
In the 4-2 adder mode, the function block of
The function block of
Moreover, in the function block 4 of
12.2) Modified Example of Twelfth Embodiment
More specifically, the MUX 22a, 22f, 22m, the AND 31d and the configuration memory 13d in
Various variations of the function block including the 4-input logic function generator have been already detailed. They are based on the function block of
The inputs i0 to i3 and the respective inputs of the MUX 22c in
When adding a high-speed carry circuit to the function block of
Moreover,
13. Thirteenth Embodiment
13.1) Function Block
The half-function block 4_0 comprises: a first 2-input logic function generator 49 generating a first logic output; a first XOR 30 generating a first addition output; a first MUX 22c generating a 4-2 carry output o42; a first ripple carry block 50 generating a first ripple carry output orc0; a first MUX 22p for supplying a signal to an input in0 of the first 2-input logic function generator 49, an input-0 of the first MUX 22c and an input-b of the first ripple carry bock 50, and a first configuration memory 13p for controlling it; a first MUX 22h for supplying a signal to a first input of the first XOR 30 and an input-1 of the first MUX 22c, and a first configuration memory 13h for controlling it.
The first logic output is supplied to a control input of the first MUX 22c, a second input of the first XOR 30, and an input-d of the first ripple carry block 50. An input-a of the first ripple carry block 50 is connected to an input in1 of the first 2-input logic function generator 49. The first ripple carry input irc0 is supplied to an input-c of the first ripple carry block 50 and an input-1 of the first MUX 22h.
The half-function block 4_1 comprises: a second 2-input logic function generator 49 generating a second logic output; a second XOR 30 generating a second addition output; a second MUX 22c generating a carry output oc; a second ripple carry block 50 generating a second ripple carry output orc1; a second MUX 22p for supplying a signal to an input in1 of the second 2-input logic function generator 49 and an input-a of the second ripple carry bock 50, and a second configuration memory 13p for controlling it; a second MUX 22h for supplying a signal to a first input of the second XOR 30 and an input-1 of the second MUX 22c, and a second configuration memory 13h for controlling it.
The second logic output is supplied to a control input of the second MUX 22c, a second input of the second XOR 30, and an input-d of the second ripple carry block 50. An input-b of the second ripple carry block 50 and an input-0 of the second MUX 22c are connected to an input in0 of the second 2-input logic function generator 49. The second ripple carry input irc1 is supplied to an input-c of the second ripple carry block 50 and an input-1 of the second MUX 22h.
The 4-2 carry input i42 is supplied to the input-0 of the second MUX 22h; the input i0 is supplied to the input in0 of the second 2-input logic function generator 49 and to the input-0 of the first MUX 22p; the input i1 is supplied to the input-0 of the first MUX 22h and to the control input of the MUX 22q; the input i2 is supplied to the input-1 of the first MUX 22p; and the input i3 is supplied to the input in1 of the first 2-input logic function generator 49 and to the input-0 of the second MUX 22p.
The input-0 and the input-1 of the MUX 22q are supplied with the first and the second logic output, respectively; the input-0 and the input-1 of the MUX 22r are supplied with the first and the second addition output, respectively; and the input-1 of the MUX 22p is supplied with the first addition output. The addition output os and the logic output ol of the function block 4 are given by the output of the MUX 22r and the output of the MUX 22q, respectively.
13.2) Operation Mode
The function block shown in
Logic Mode
In the logic mode, a logical value of 0 is stored in the first and the second configuration memory 13p of
4-2 Adder Mode
In the 4-2 adder mode, a 2-input XOR is implemented in the first and the second 2-input logic function generator 49; a logical value of 1 is stored in the first and the second configuration memory 13p; a logical value of 0 is stored in the first and the second configuration memory 13h; and a fixed logical value of 1 is fed to a control input icc of the MUX 22r. In this case, the function block 4 functions as a 4-2 adder using i0, i1, i2 and i3 as argument inputs, i42 as a 4-2 carry input, o42 as a 4-2 carry output, os as an addition output, and oc as a carry output.
Conditional Carry Mode
In the conditional carry mode, a 2-input XOR is implemented in the first and the second 2-input logic function generator 49, a logical value of 0 is stored in the first and the second configuration memory 13p, and a logical value of 1 is stored in the first and the second configuration memory 13h. In this case, the half-function block 4_0 functions as a 1-bit full adder using i0 and i3 as argument inputs, irc0 as a ripple carry input, orc0 as a ripple carry output, and the first addition output as an addition output. Simultaneously with this, the half-function block 4_1 functions as a 1-bit full adder using i0 and i3 as argument inputs, irc1 as a ripple carry input, orc1 as a ripple carry output, and the second addition output as an addition output.
Thus, the two full adders having the common argument inputs and independent ripple carry routes can be used as a high-speed condition carry adder. For this, the programmable function cell 52 including the function block 4 of
The function block 4 of
13.3) Modified Example of Thirteenth Embodiment
More specifically, the MUX 22a, 22f and 22m in
Moreover, by using the MUX 22a and 22f as AND in the 4-2 adder mode, the function block 4 of
In
Explanation has thus far been given on the function block including a logic function generator. Hereinafter, explanation will be given on a function block not including a logic function generator.
14. Fourteenth Embodiment
14.1) Function Block
The input-0, the input-1 and the control input of the MUX 22j outputting the 4-2 carry o42 are connected with the input i13, the input i03 and the output of the XOR 30b, respectively; and a first and a second input of the XOR 30c are connected with the outputs of the XOR 30a and 30b, respectively. The input-0, the input-1 and control input of the MUX 22h are connected with the input i40, the 4-2 carry input i42 and the output of the configuration memory 13h, respectively; the input-0, the input-1 and the control input of the MUX 22c outputting the carry output oc are connected with the outputs of the MUX 22a, the MUX 22h and the XOR 30c, respectively; and a first and a second input of the XOR 30d outputting the addition output os are connected with the outputs of the XOR 30c and the MUX 22h, respectively.
The function block 4 of
14.2) Operation Mode
Next, explanation will be given on the operation and effect of the present embodiment. The present embodiment has two operation modes: full adder mode and 4-2 adder mode.
Full Adder Mode
For using the present embodiment in the full adder mode, a logical value of 0 is stored in the configuration memory 13h and a fixed logical value of 0 is fed to the input i03.
FIG. 74(1) shows an equivalent circuit of the function block of
Moreover, as shown in
4-2 Adder Mode
On the other hand, the function block 4 of
FIG. 74(2) shows an equivalent circuit of the function block of
The function block 4 of
15. Fifteenth Embodiment
The function block 4 of
The function block 4 of
The function block 4 of
16. Sixteenth Embodiment
On the other hand, when a logical value of 0 is stored in both of the configuration memories 13d and 13g, the MUXs 22a, 22b, 22e, 22f, 22m, 22n and 22c constitute an 8-input MUX using the oc as an output. The function block 4 of
On the other hand, when a logical value of 0 is stored in the configuration memory 13d, the MUX 22a, 22b, 22e, 22f, 22m, 22n and 22g constitute an 8-input MUX using the oc as an output. The function block 4 of
17. Seventeenth Embodiment
The function block of
On the other hand, when a logical value of 0 is stored in both of the configuration memories 13k and 13h, the function block 4 of
As has been described above, since the MUX-XOR can realize a larger variety of logic circuits than the MUX, the circuit of
18. Eighteenth Embodiment
On the other hand, when logical values 0, 1 and 0 are stored in the configuration memories 13k, 13d and 13h, respectively, and a logical value of 1 is fed as the control input i50, the function block 4 of
19. Nineteenth Embodiment
Moreover, when a logical value of 0 is stored in the configuration memory 13k, the function block 4 of
Moreover, when the input a or b is selected by the memory-equipped 3-input MUX 23, the function block 4 of
For those skilled in the art, it is easy to provide the ripple carry block 50 in the other function blocks of the present invention (the function blocks of the fifteenth to the eighteenth embodiment of the present invention and their modified examples) in the same way as in the present embodiment using the information disclosed in this Specification.
20. Twentieth Embodiment
In order to use the 2-bit carry look ahead function, in the two function blocks 4a and 4b of
When a logical value of 1 is stored in the configuration memory 13s and the input a or b is selected by the memory-equipped 3-input MUX 23, the function blocks 4a and 4b of
21. Twenty-first Embodiment
22. Twenty-second Embodiment
22.1) Function Block
The half-function block 4_0 includes: a first XOR 30d generating a first addition output; a first MUX 22c generating a 4-2 carry output o42 and a logic output ol; a first ripple carry block 50 generating a first ripple carry output orc0; a first XOR 30c for supplying a signal to a first input of the first XOR 30d, to the input-d of the first ripple carry block 50 and to the control input of the first MUX 22c; a first MUX 22p for supplying a signal to the input-0 of the first MUX 22c, to a first input of the first XOR 30c and to the input-b of the first ripple carry block 50, and a first configuration memory 13p for controlling it; a first MUX 22a for supplying a signal to a second input of the first XOR 30c and to the input-a of the first ripple carry block 50; and a first MUX 22h for supplying a signal to a second input of the first XOR 30d and to the input-1 of the first MUX 22c, and a first configuration memory 13h for controlling it.
The first ripple carry input irc0 is supplied to the input-c of the first ripple carry block 50 and to the input-1 of the first MUX 22h. The input-0 of the first MUX 22h is supplied with an input i1 and the input-1 of the first MUX 22p is supplied with an input i2.
The half-function block 4_1 comprises: a second XOR 30d generating a second addition output; a second MUX 22c generating a carry output oc; a second ripple carry block 50 generating a second ripple carry output orc1; a second XOR 30c for supplying a signal to a first input of the second XOR 30d, to the input-d of the second ripple carry block 50 and to the control input of the second MUX 22c; a first MUX 22a for supplying a signal to the input-0 of the second MUX 22c, to a first input of the second XOR 30c and to the input-b of the second ripple carry block 50; a second MUX 22p for supplying a signal to a second input of the second XOR 30c and to the input-a of the second ripple carry block 50, and a second configuration memory 13p for controlling it; and a second MUX 22h for supplying a signal to a second input of the second XOR 30d and to the input-1 of the second MUX 22h, and a second configuration memory 13h for controlling it.
The second ripple carry input irc1 is supplied to the input-c of the second ripple carry block 50 and to the input-1 of the second MUX 22h. The input-0 of the second MUX 22h is supplied with a 4-2 carry input i42.
A first addition output is supplied to the input-0 of the MUX 22r and to the input-1 of the second MUX 22p. A second addition output is supplied to the input-1 of the MUX 22r. The input-0 of the first MUX 22p is supplied with an output of the second MUX 22a and the input-0 of the second MUX 22p is supplied with an output of the first MUX 22a.
22.2) Operation Mode
The function block 4 of
In the logic mode, a logical value of 0 is stored in the first configuration memory 13p and the first configuration memory 13h of
In the 4-2 adder mode, a logical value of 0 is stored in the first and the second configuration memory 13h of
In the conditional carry mode, a logical value of 1 is stored in the first and the second configuration memory 13h of
Here, the half-function block 4_0 is supplied with argument inputs i0 and i3 by the output of the first and the second MUX 22a and functions as a 1-bit full adder having a preposition logic circuit using irc0 as a ripple carry input, orc0 as a ripple carry output, and the first addition output as an addition output.
Simultaneously with this, the half-function block 4_1 is supplied with argument inputs i0 and i3 by the output of the first and the second MUX 22a and functions as a 1-bit full adder having a preposition logic circuit using irc1 as a ripple carry input, orc1 as a ripple carry output, and the second addition output as an addition output.
Thus, the two full adders having common argument inputs and independent ripple carry routes, as has been already described above, can be used as a high-speed condition carry adder. For this, the programmable function cell 52 including the function block 4 of
In the function blocks of the fourteenth to the twenty-second embodiments and their modified examples, an example has been given using an MUX as a preposition logic circuit. However, the preposition logic circuit of the function block of the present invention is not limited to this. For example, other circuits such as an LUT and an MUX-XOR can be used in which various programmable functions can be set. Moreover, for those skilled in the art, it is easy to change the number of preposition logic circuits and to modify the inputs to which the preposition logic circuit is added to other than those exemplified in this specification.
23. Programmable Function Cell
In
The output block 5 has register blocks 42b and 42c that are identical to the aforementioned register block (
The MUX 22t is controlled in accordance with a value stored in the configuration memory 13t and one of the i1 and id is selected to be input to the D-FF 38. The MUX 22s is supplied with a data output q and i1 of the D-FF 38 as data input and selects one of the data inputs in accordance with a value stored in the configuration memory 13s so as to be output as out. Moreover, the data output q of the D-FF 38 is output directly as ofb.
In this register block 42, the id is passed through the D-FF before being output from ofb and simultaneously with this, the i1 can bypass the D-FF to be output from the out. This feature is effective when constituting a pipelined multiplier as will be detailed later.
As shown in
Next, explanation will be given on the effect of the programmable function cell of
And now, as is seen from
Pipelined Multiplier
A pipeline registers is inserted between an odd-numbered row (for example, the first row) and the following even-numbered row (for example, the second row) and no pipeline register is inserted between an even-numbered rows (for example, the second row) and the following odd-numbered row (for example, the third row). The 2AND4-2 adder 27 is implemented in each of the programmable function cells (for example, 1a and 1b). The outputs oc and os of 2AND4-2 adder 27 of the odd-numbered row (for example, the one implemented in the programmable function cell 1a) respectively pass through the register 38. Each bit xk (k is an integer) of the multiplicand data passes through the register 38 of the programmable function cell (for example 1b) of the even-numbered row before being supplied to the programmable function cell of a corresponding row. The outputs oc and os of the 2AND4-2 adder 27 implemented in a programmable function cell of the even-numbered row (for example, 1b) are transferred to the subsequent stage without passing through the register. Thus, the pipeline register is inserted between every other computation blocks.
Here, in the programmable function cell of the even-numbered row (for example, 1b) has two outputs oc and os not passing through the register and an output xk being output simply through the register without any logic processing on input. The former uses a route from i1 of the register block 42 (
As has been described above, by using the programmable function cell of
In computing and signal processing, multi-bit data is used in most cases. In general, a calculator processing such multi-bit data is composed of a computation block in which a 1-bit calculation unit is arranged in one row in the bit arrangement direction. In this specification also, examples of such computation blocks have been described: the multi-bit 4-2 adder circuit 45_k (k is an integer) constituting multi-bit multi-argument addition (
Multi-bit Adder/Subtractor
MUX-equipped Multi-bit Adder
Overflow Processing
As has been described above, in the multi-bit data processing, a computation block often used is such that certain calculation units are arranged in one row and further a common input to all the calculation units is provided. If such a computation block is implemented in the conventional FPGA, a great waste is caused. Because in the conventional FPGA, all the programmable function cells have their own configuration memories and can be configured separately but in the case of the aforementioned computation block, the calculation units have an identical function and need not be configured separately. Furthermore, the conventional programmable function cells have separate input selection units but in the case of the aforementioned common input, an input can be supplied from one input selection unit to all the calculation units in the computation block.
24. Programmable Function Cell Row
Next, explanation will be given on a programmable function cell row for effectively realizing a computation block for the aforementioned multi-bit data processing.
In general, as shown in
In
The input selection unit 3_7 selects an output signal in accordance with configuration from the interconnection wire group 2, the common line 64a, and, if exists, a fixed logical value (not indispensable) in the input selection unit. The input selection unit 3_3 selects an output signal in accordance with configuration from the interconnection wire group 2, the common line 65a, and, if exists, a fixed logical value (not indispensable) in the input selection unit if any. Thus, by supplying some inputs of the function block 4 from the common input selection units 3_7 and 3_3, it is possible to reduce the number of input selection units occupying a large area.
In case of
Moreover, as is seen from
Moreover, although not depicted in
In
In
The input selection unit 3_9 selects an output signal in accordance with the configuration from the interconnection wire group 2, the common line 67a, and, if exists, a fixed logical value (not indispensable) in the input selection unit. The input selection unit 3_10 selects an output signal in accordance with the configuration from the interconnection wire group 2, the common line 66a, and, if exists, a fixed logical value (not indispensable) in the input selection unit. Here, the inputs ctl1 and ctl2 of the output block 5 are the control inputs ctl1 and ctl2 of the register block in the output block 5 (
As in
In
In
On the other hand, as in
Moreover, when using the function block 4 of
In
In
In
As has been described above, in the multi-bit data processing, most of the computation blocks are made from a calculation unit of an identical function. Accordingly, as shown in
Moreover, in general, a configuration memory is present in the function block 4 like the configuration memory in the logic function generator 40 of
The same can be said for the output block 5. Like 13t and 13s of
There is no need of making common all the configuration memories in the programmable function cell row. For example, like
A ripple carry terminal block 57 of
When the upper-node programmable function cell row is used as a full adder, a logical value of 1 is supplied from the fixed logical value memory 13a to orc. When the upper-node programmable function cell row is used as a subtractor, a logical value of 0 is supplied from the fixed logical value memory 13a to orc. When the lower-node and the upper-node programmable function cell rows are connected so as to be used as one computation block, irc of the ripple carry terminal block 57 is output to orc. When the upper-node programmable function cell row is used as an adder/subtractor like
A 4-2 carry terminal block 58 of
When the upper-node programmable function cell row is used as a 4-2 adder for adding all the four argument inputs, a logical value of 0 is supplied from the fixed logical value memory 13a to o42. When the upper-node programmable function cell row is used as a subtractor for subtracting one argument input, a logical value of 1 is supplied from the fixed logical value memory 13a to o42. When the lower-node and the upper-node programmable function cell rows are connected so as to be used as one computation block, i42 of the 4-2 carry terminal block 58 is output to o42.
As has been described above, by using the programmable function cell row according to the embodiment of the present invention, it is possible to effectively implement a computation block used for multi-bit data processing. Furthermore, a plurality of programmable function cell rows can be connected so as to create a programmable function cell row of more bits.
In the ALU 75, one or a small number of (two in the example of
On the other hand, in the peripheral block 74, a programmable function cell which can be configured independently by one bit is arranged. This is where a random logic is mainly implemented and suitable for creating a data path control system. Such a reconfigurable device can effectively implement a large-scale circuit including multi-bit data processing as compared to the conventional FPGA in which programmable function cells independently configurable are arranged over the entire surface.
The present invention has a first advantage to provide a function block capable of constituting a compact high-speed multiplier. This is because it is possible to realize an AND-equipped 4-2 adder as a multiplier constituting unit by one function block. Thus, it is possible to constitute a multiplier by using half the number of programmable function cells used conventionally.
The present invention has a second advantage to provide a function block capable of constituting a compact multi-input MUX. This is because by utilizing the MUX used as a preposition logic circuit, it is possible to create a 4-input or more-input MUX by one function block. Thus, it is possible to constitute a 4-input MUX by using one-half the number of programmable function cells used conventionally.
Claims
1. A function block comprising:
- first to fourth multiplexers;
- a first exclusive OR circuit for performing an exclusive OR function on output signals of the first and second multiplexers;
- a second exclusive OR circuit for performing an exclusive OR function on output signals of the third and fourth multiplexers;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first and second exclusive OR circuits;
- a 4-2 carry block for generating a 4-2 carry output signal from at least, an output signal of one of the first and second multiplexers and an output signal of one of the third and fourth multiplexers;
- a fifth multiplexer for selecting one of output signals of the first and second multiplexers depending on a first control signal;
- a sixth multiplexer for selecting one of output signals of the third and fourth multiplexers depending on a second control signal;
- a seventh multiplexer for selecting a signal from a first multiple-signal group including a logical input signal and a 4-2 carry input signal;
- an eighth multiplexer for selecting a signal from a second multiple-signal group including output signals of the sixth and seventh multiplexers;
- a ninth multiplexer for selecting a signal from a third multiple-signal group including a third control signal and an output signal of the third exclusive OR circuit;
- a tenth multiplexer which is controlled by an output signal of the ninth multiplexer and selects a signal from a fourth multiple-signal group including output signals of the fifth and eighth multiplexers to output it as a carry output signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on output signals of the third exclusive OR circuit and the seventh multiplexer to produce an addition output.
2. The function block according to claim 1, wherein the first control signal and the second control signal are one and the same.
3. The function block according to claim 1, wherein the 4-2 carry block comprises:
- a 4-2 carry multiplexer which is controlled by an output signal of the second exclusive OR circuit and selects either one of the output signals of the first and second multiplexers or one of the output signals of the third and fourth multiplexers to produce the 4-2 carry output signal.
4. A function block comprising:
- first to fourth multiplexers;
- a first exclusive OR circuit for performing an exclusive OR function on output signals of the first and second multiplexers;
- a second exclusive OR circuit for performing an exclusive OR function on output signals of the third and fourth multiplexers;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first and second exclusive OR circuits;
- a 4-2 carry block for generating a 4-2 carry output signal from at least, an output signal of one of the first and second multiplexers and an output signal of one of the third and fourth multiplexers;
- a fifth multiplexer for selecting one of output signals of the first and second multiplexers depending on a first control signal;
- a sixth multiplexer for selecting one of output signals of the third and fourth multiplexers depending on a second control signal;
- a seventh multiplexer for selecting a signal from a first multiple-signal group including at least one logical input signal and a 4-2 carry input signal;
- an eight multiplexer for selecting a signal from a second multiple-signal group including the logical input signal and the 4-2 carry input signal;
- a ninth multiplexer for selecting a signal from a third multiple-signal group including output signals of the fifth and sixth multiplexers depending on a third control signal;
- a selector for selecting a signal from a fourth multiple-signal group including a fourth control signal and an output of the third exclusive OR circuit;
- a tenth multiplexer which is controlled by an output signal of the selector and selects a signal from a fifth multiple-signal group including output signals of the eighth and ninth multiplexers to output it as a carry output signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on output signals of the third exclusive OR circuit and the seventh multiplexer to produce an addition output.
5. The function block according to claim 4, wherein the tenth multiplexer selects the output signal of the ninth multiplexer when the selector selects the fourth control signal.
6. The function block according to claim 4, wherein the first control signal and the second control signal are one and the same.
7. The function block according to claim 4, wherein the 4-2 carry block comprises:
- a 4-2 carry multiplexer which is controlled by an output signal of the second exclusive OR circuit and selects either one of the output signals of the first and second multiplexers or one of the output signals of the third and fourth multiplexers to produce the 4-2 carry output signal.
8. The function block according to claim 4, wherein the eighth multiplexer includes the seventh multiplexer, and the second multiple-signal group includes the first multiple-signal group,
- wherein the eighth multiplexer comprises a multiplexer for selecting a signal from a multiple-signal group including an output signal of the seventh multiplexer.
9. The function on block according to claim 4, wherein the seventh multiplexer and the eighth multiplexer are one and same circuit, wherein the first multiple-signal group is identical to the second multiple-signal group.
10. The function block according to claim 4, wherein the first multiple-signal group includes a ripple carry input signal.
11. The function block according to claim 4, wherein the first multiple-signal group and the second multiple-signal group include a ripple carry input signal.
12. The function block according to claim 10, further comprising:
- a ripple carry block for generating a ripple carry output signal from the two input signals of the third exclusive OR circuit and the ripple carry input signal.
13. The function block according to claim 10, further comprising:
- a ripple carry multiplexer for selecting a signal from the ripple carry input signal and one of input signals of the third exclusive OR circuit depending on an output signal of the third exclusive OR circuit to output it as a ripple carry output signal.
14. The function block according to claim 11, further comprising:
- a ripple carry block for generating a ripple carry output signal from the ripple carry input signal, two input signals and an output signal of the third exclusive OR circuit.
15. A function cell allowing programmable connection to an interconnection wire group including a plurality of interconnection wires, comprising:
- a programmable input selector for selecting a plurality of input signals from the interconnection wire group;
- a function block for generating a plurality of output signals including at least an addition output signal and a carry output signal from the plurality of input signals; and
- a programmable output selector for selecting a plurality of interconnection wires from the interconnection wire group to output the plurality of output signals to respective ones of the selected interconnection wires,
- wherein the function block comprises:
- a first exclusive OR circuit for performing an exclusive OR function on a first input signal and a second input signal;
- a second exclusive OR circuit for performing an exclusive OR function on a third input signal and a fourth input signal;
- a 4-2 carry block for generating a 4-2 carry output signal from at least, one of the first and second input signals and one of the third and fourth input signals;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second input signals;
- a third signal generator for generating a third signal from a first multiple-signal group including a 4-2 carry input signal and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input signal and at least one logical input signal;
- a selector for selecting one of the second and third signals to produce the carry output signal depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit to produce the addition output signal.
16. The function cell according to claim 15, wherein the programmable output selector comprises:
- a programmable signal switch for routing at least the addition output signal and the carry output signal from input terminals to output terminals according to a state changeable between a straight connection state and a cross connection state;
- a first output selection block for selectively outputting a first output signal of the programmable signal switch to a first wire group of the interconnection wire group; and
- a second output selection block for selectively outputting a second output signal of the programmable signal switch to a second wire group of the interconnection wire group, wherein the second wire group is different from the first wire group.
17. The function cell according to claim 15, wherein the programmable output selector comprises:
- a first programmable register block changeable between a direct transfer state and a temporal latch state of the addition output signal;
- a second programmable register block changeable between a direct transfer state and a temporal latch state of the carry output signal; and
- a signal transfer section connecting each of the first and second programmable register blocks to the function block without intervention of the interconnection wire group,
- wherein, when each of the first and second programmable register blocks is set to the temporal latch state, an output signal of a corresponding one of the first and second programmable register blocks is transferred to the function block through the signal transfer section.
18. The function cell according to claim 15, wherein the programmable output selector comprises:
- a programmable signal switch for routing at least the addition output signal and the carry output signal from input terminals to output terminals according to a state changeable between a straight connection state and a cross connection state;
- a first programmable register block changeable between a direct transfer state and a temporal latch state of one of two outputs of the programmable signal switch;
- a second programmable register block changeable between a direct transfer state and a temporal latch state of the other one of the two outputs of the programmable signal switch;
- a first output selection block for selectively outputting a direct-transfer output of the first programmable register block to a first wire group of the interconnection wire group;
- a second output selection block for selectively outputting a direct-transfer output of the second programmable register block to a second wire group of the interconnection wire group, wherein the second wire group is different from the first wire group; and
- a signal transfer section connecting each of the first and second programmable register blocks to the function block without intervention of the interconnection wire group, wherein, a temporal-latch output signal of each of the first and second programmable register blocks is transferred to the function block through the signal transfer section.
19. A combined function block comprising a first function block and a second function block, wherein
- the first function block comprises:
- a first exclusive OR circuit A for performing an exclusive OR function on a first input signal and a second input signal;
- a second exclusive OR circuit A for performing an exclusive OR function on a third input signal and a fourth input signal;
- a 4-2 carry block A for generating a 4-2 carry output signal from at least, one of the first and second input signals and one of the third and fourth input signals;
- a third exclusive OR circuit A for performing an exclusive OR function on output signals of the first exclusive OR circuit A and the second exclusive OR circuit A;
- a first signal generator A for generating a first signal A from at least an output signal of the third exclusive OR circuit;
- a second signal generator A for generating a second signal A from at least one of the first and second input signals;
- a third signal generator A for generating a third signal A from a first multiple-signal group including a 4-2 carry input signal, a ripple carry input signal, and at least one logical input signal;
- a fourth signal generator A for generating a fourth signal A from a second multiple-signal group including the 4-2 carry input signal, the ripple carry input signal, and at least one logical input signal;
- a selector A for selecting one of the second signal A and the third signal A to produce a carry output signal A depending on the first signal A;
- a fourth exclusive OR circuit A for performing an exclusive OR function on the fourth signal A and the output signal of the third exclusive OR circuit A; and
- a first AND circuit for performing AND function on the output signals of the first exclusive OR circuit A and the second exclusive OR circuit A, and the second function block comprises:
- a first exclusive OR circuit B for performing an exclusive OR function on a fifth input signal and a sixth input signal;
- a second exclusive OR circuit B for performing an exclusive OR function on a seventh input signal and an eighth input signal;
- a 4-2 carry block B for generating a 4-2 carry output signal from at least, one of the fifth and sixth input signals and one of the seventh and eighth input signals;
- a third exclusive OR circuit B for performing an exclusive OR function on output signals of the first exclusive OR circuit B and the second exclusive OR circuit B;
- a first signal generator B for generating a first signal B from at least an output signal of the third exclusive OR circuit B;
- a second signal generator B for generating a second signal B from at least one of the fifth and sixth input signals;
- a third signal generator B for generating a third signal B from a third multiple-signal group including the 4-2 carry output signal A, the carry output signal A, an output of the first AND circuit and at least one logical input signal;
- a fourth signal generator B for generating a fourth signal B from a fourth multiple-signal group including the 4-2 carry output signal A, the carry output signal A and at least one logical input signal;
- a selector B for selecting one of the second signal B and the third signal B to produce a carry output signal B depending on the first signal B;
- a fourth exclusive OR circuit B for performing an exclusive OR function on the fourth signal B and the output signal of the third exclusive OR circuit B;
- a second AND circuit for performing an AND function on an output signal of the third exclusive OR circuit A and an output signal of the third exclusive OR circuit B; and
- an AND-OR circuit for performing a logical OR function on the carry output signal B and an AND of an output signal of the second AND circuit and the ripple carry input signal, to produce a ripple carry output signal.
20. The combined function block according to claim 19, wherein the AND-OR circuit comprises:
- a first NAND circuit for inputting the output signal of the second AND circuit and the ripple carry input signal; and
- a second NAND circuit for inputting an output signal of the first NAND circuit and NOT of the carry output signal B to produce the ripple output signal.
21. A function block having at least first, second, third, and fourth logical input terminals at which first, second, third, and fourth logical input signals are inputted, respectively, comprising:
- a first half-function block; and
- a second half-function block,
- wherein
- the first half-function block comprises:
- a first logical function generator having at least first and second input terminals and one output terminal, for generating a first logical output signal from first and second input signals according to a logical function selected from a plurality of 2-input/1-output logical functions depending on configuration data, wherein the first logical function generator has up to three input terminals,
- wherein the first half-function block is allowed to configure a full adder for producing a first addition output signal and a 4-2 carry output signal by adding the first, second, and fourth logical input signals, and
- the second half-function block comprises:
- a second logical function generator having at least third and fourth input terminals and one output terminal, for generating a second logical output signal from third and fourth input signals according to a logical function selected from a plurality of 2-input/1-output logical functions depending on configuration data, wherein the second logical function generator has up to three input terminals,
- wherein the second half-function block is allowed to configure a full adder for producing a second addition output signal and a carry output signal by adding the first addition output signal, the third logical input signal, and the 4-2 carry input signal.
22. The function block according to claim 21, wherein the first half-function block further comprises:
- a first signal generator for generating a first signal from at least the logical output signal;
- a second signal generator for generating a second signal from at least the fourth logical input signal;
- a third signal generator for generating a third signal from at least the fourth logical input signal;
- a 4-2 carry generator for generating a 4-2 carry output signal from the second signal and the first input signal of the first logical function generator; and
- a first exclusive OR circuit for performing an exclusive OR function on the logical output signal and the third signal to produce the first addition output signal,
- wherein the first input signal and the second input signal of the first logical function generator are the first signal and the second logical input signal, respectively, the second half-function block further comprises:
- a fourth signal generator for generating a fourth signal from at least the first addition output signal;
- a fifth signal generator for generating a fifth signal from at least the 4-2 carry input signal;
- a sixth signal generator for generating a sixth signal from at least the 4-2 carry input signal;
- a seventh signal generator for generating a seventh signal from the second logical output signal;
- an eighth signal generator for generating an eighth signal from one input signal of the second logical function generator;
- a carry generator for generating the carry output signal based on at least the fifth signal and the eighth signal; and
- a second exclusive OR circuit for performing an exclusive OR function on the second logical output signal and the sixth signal to produce the second addition output signal,
- wherein the third input signal and the fourth input signal of the second logical function generator are the third logical input signal and the fourth signal, respectively.
23. The function block according to claim 22, wherein
- the 4-2 carry generator comprises a first multiplexer which is controlled by the first logical output signal and selects a signal from the second signal and the first input signal of the first logical function generator to output it as the 4-2 carry output signal, and
- the carry generator comprises a second multiplexer which is controlled by the seventh signal and selects s a signal from the fifth signal and the eighth signal to output it as the carry output signal.
24. The function block according to claim 22, wherein
- the 4-2 carry generator comprises a first carry block which outputs a carry signal obtained from the second signal and the first input signal of the first logical function generator as the 4-2 carry output signal, and
- a carry generator comprises a second carry block which outputs a carry signal obtained from the fifth signal and the third input signal of the second logical function generator as the carry output signal.
25. The function block according to claim 22, wherein the third signal generator is a selector for selecting a signal from a multiple-signal group including the fourth logical input signal.
26. The function block according to claim 22, wherein the sixth signal generator is a selector for selecting a signal from a multiple-signal group including the 4-2 carry input signal.
27. The function block according to claim 22, wherein the second signal generator and the third signal generator are one and the same circuit.
28. The function block according to claim 22, wherein the fifth signal generator and the sixth signal generator are one and the same circuit.
29. The function block according to claim 22, wherein the first signal generator selects a signal as the first signal from a multiple-signal group including the first and third logical input signals.
30. The function block according to claim 22, wherein the fourth signal generator selects a signal as the fourth signal from a multiple-signal group including the first addition output signal and the second logical input signal.
31. The function block according to claim 21, further comprising:
- a supplying section for selectively supplying the third logical input signal and the second logical input signal to respective ones of the first input terminal of the first logical function generator and the fourth input terminal of the second logical function generator.
32. The function block according to claim 21, wherein the first addition output signal is transferred to the second half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
33. The function block according to claim 31, wherein the second logical input signal is transferred to the second half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
34. The function block according to claim 21, wherein the third logical input signal is transferred to the first half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
35. The function block according to claim 21, further comprising:
- an addition output multiplexer for selecting a signal from the first addition output signal and the second addition output signal.
36. The function block according to claim 35 wherein the addition output multiplexer is controlled by a signal that is selected in programmable fashion from a multiple-signal group including the fourth logical input signal.
37. The function block according to claim 21, further comprising:
- a logical output multiplexer for selecting a signal from the first logical output signal and the second logical output signal.
38. The function block according to claim 37, wherein the logical output multiplexer is controlled by the fourth logical input signal.
39. The function block according to claim 21, further comprising:
- a preposition circuit connected to at least one of the second and third logical input terminals, wherein the preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions.
40. The function block according to claim 39, wherein the preposition circuit is programmable with configuration data.
41. The function block according to claim 39, wherein a logical function of the preposition circuit is determined based on a signal selected in programmable fashion from a fixed logical value and a signal on an interconnection network that allows programmable connections of a plurality of function blocks.
42. The function block according to claim 39, wherein the preposition circuit is a look-up table programmable with configuration data.
43. The function block according to claim 39, wherein the preposition circuit is a multiplexer that is allowed to be controlled by a dynamic signal.
44. The function block according to claim 39, wherein the plurality of logical functions include an AND function.
45. The function block according to claim 39, wherein the preposition circuit is connected to each of the second and third input terminals.
46. The function block according to claim 45, wherein
- one of preposition circuits connected to the second and third input terminals is a look-up table programmable with configuration data; and
- the other of the preposition circuits is set to a logical function determined based on a signal selected in programmable fashion from a fixed logical value and a dynamic signal on an interconnection network that allows programmable connections of a plurality of function blocks.
47. The function block according to claim 45, wherein the preposition circuits are each multiplexers that are allowed to be controlled by dynamic signals.
48. The function block according to claim 45, wherein each of the preposition circuits is allowed to be set to an AND function.
49. The function block according to claim 21, wherein the first half-function block further comprises:
- a first ripple carry block for generating a first ripple carry output signal from a multiple-signal group including a first ripple carry input signal,
- wherein the first half-function block is allowed to configure a full adder for producing the first addition output signal and the first ripple carry output signal by adding the first logical input signal, the second logical input signal, and the first ripple carry input signal, and
- the second half-function block further comprises:
- a second ripple carry block for generating a second ripple carry output signal from a multiple-signal group including a second ripple carry input signal,
- wherein the second half-function block is allowed to configure a full adder for producing the second addition output signal and the second carry output signal by adding the first addition output signal, the third logical input signal, and the second ripple carry input signal.
50. A function block having at least first, second, third, and fourth logical input terminals at which at least first, second, third, and fourth logical input signals are inputted, respectively, comprising:
- a first half-function block; and
- a second half-function block,
- wherein
- the first half-function block comprises:
- at least two exclusive OR circuits for generating a first logical output signal,
- wherein the first half-function block is allowed to configure a full adder for producing the first addition output signal and a 4-2 carry output signal by adding the first, second, and third logical input signals, and
- the second half-function block comprises:
- at least two exclusive OR circuits for generating a second logical output signal,
- wherein the second half-function block is allowed to configure a full adder for producing the second addition output signal and a carry output signal by adding the first addition output signal, the fourth logical input signal, and a 4-2 carry input signal.
51. The function block according to claim 50, wherein the first half-function block further comprises:
- a first preposition circuit connected to the third logical input terminal, wherein the first preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions, and the second half-function block further comprises:
- a second preposition circuit connected to the fourth logical input terminal, wherein the second preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions.
52. The function block according to claim 51, wherein the first half-function block further comprises:
- a first signal generator for generating a first signal from at least the logical output signal;
- a first exclusive OR circuit for performing an exclusive OR function on an output signal of the first preposition circuit and the first signal;
- a second signal generator for generating a second signal from at least the second logical input signal;
- a first selector for selecting a signal from the second signal and one of the output signal of the first preposition circuit and the first signal to output it as the 4-2 carry output signal, depending on an output signal of the first exclusive OR circuit; and
- a second exclusive OR circuit for performing an exclusive OR function on the output signal of the first preposition circuit and the second signal, and the second half-function block further comprises:
- a third signal generator for generating a third signal from at least the first addition output signal;
- a third exclusive OR circuit for performing an exclusive OR function on an output signal of the second preposition circuit and the third signal;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input signal;
- a fifth signal generator for generating a fifth signal from at least either the output signal of the second preposition circuit or the third signal;
- a second selector for selecting a signal from the fourth signal and the fifth signal to output it as the carry output signal, depending on an output signal of the third exclusive OR circuit; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the output signal of the third exclusive OR circuit and the fourth signal to produce the second addition output signal.
53. The function block according to claim 51, wherein
- the first half-function block further comprises a 4-2 carry block for generating the 4-2 carry output signal, and
- the second half-function block further comprises a carry block for generating the carry output signal.
54. The function block according to claim 51, further comprising:
- a supplying section for supplying an output signal of the first preposition circuit to the second half-function block,
- wherein the second half-function block is allowed to configure a full adder for producing the second addition output signal and the carry output signal by adding the output signal of the first preposition circuit, an output signal of the second preposition circuit, and the 4-2 carry input signal.
55. The function block according to claim 54, wherein the output signal of the first preposition circuit is transferred to the second half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
56. The function block according to claim 51, further comprising:
- a supplying section for supplying an output signal of the second preposition circuit to the first half-function block,
- wherein the first half-function block is allowed to configure a full adder for producing the first addition output signal and the 4-2 carry output signal by adding the output signal of the first preposition circuit, an output signal of the second preposition circuit, and the second logical input signal.
57. The function block according to claim 56, wherein the output signal of the second preposition circuit is transferred to the first half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
58. The function block according to claim 50, wherein the first addition output signal is transferred to the second half-function block via a dedicated wire that is provided separately from an interconnection wire providing programmable connections between a plurality of function blocks.
59. The function block according to claim 50, further comprising:
- an addition output multiplexer for selecting one of the first addition output signal and the second addition output signal.
60. The function block according to claim 51, wherein each of the first and second preposition circuits is a multiplexer that is controlled by a dynamic signal.
61. The function block according to claim 51, wherein each of the first and second preposition circuits is allowed to be set to an AND function.
62. The function block according to claim 51, wherein the input signals of the first preposition circuit and the second preposition circuit are signals selected in programmable fashion from fixed logical values and signals on an interconnection network that allows programmable connections of a plurality of function blocks.
63. The function block according to claim 51, wherein the second logical input signal is a signal selected in programmable fashion from a fixed logical value and signals on an interconnection network that allows programmable connections of a plurality of function blocks.
64. The function block according to claim 50, wherein the first half-function block further comprises:
- a first ripple carry block for generating a first ripple carry output signal from a multiple-signal group including a first ripple carry input signal,
- wherein the first half-function block is allowed to configure a full adder for producing the first addition output signal and the first ripple carry output signal by adding the first logical input signal, the third logical input signal, and the first ripple carry input signal, and
- the second half-function block further comprises:
- a second ripple carry block for generating a second ripple carry output signal from a multiple-signal group including a second ripple carry input signal,
- wherein the second half-function block is allowed to configure a full adder for producing the second addition output signal and the second carry output signal by adding the first addition output signal, the fourth logical input signal, and the second ripple carry input signal.
65. A combined function block comprising N blocks B1–BN (N is a natural number greater than 0), each of which includes at least one of 4-2 carry function and a ripple carry function,
- wherein the N blocks B1–BN are connected such that a carry output signal of a block Bi is a carry input signal of a block Bi+1, where i is an arbitrary natural number greater than 0 and not greater than N−1, wherein the carry output signal is produced by one of 4-2 carry function and a ripple carry function and the carry input signal is used by the one of 4-2 carry function and a ripple carry function.
66. The combined function block according to claim 65, wherein each of the N blocks B1–BN comprises:
- a logical function generator having at least four logical input terminals and one logical output terminal, for generating an logical output signal from first, second, third, and fourth logical input signals thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block for generating a 4-2 carry output signal from the second, third, and fourth logical input signals;
- a first signal generator for generating a first signal from at least the logical output signal;
- a second signal generator for generating a second signal from at least the first logical input signal;
- a third signal generator for generating a third signal from at least a 4-2 carry input signal;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input signal;
- a selector for selecting one of the second and third signals depending on the first signal to produce a carry output signal; and
- an exclusive OR circuit for performing an exclusive OR function on the logical output signal and the fourth signal.
67. The combined function block according to claim 66, wherein each of the N blocks B1–BN further comprises:
- a ripple carry generator for generating a ripple carry output signal based on at least, one of the first to fourth logical input signals and the ripple carry input signal.
68. The combined function block according to claim 67, wherein each of the N blocks B1–BN comprises a first function block and a second function block, wherein
- the first function block comprises:
- a logical function generator A having at least four logical input terminals and one logical output terminal, for generating an logical output signal A from first, second, third, and fourth logical input signals thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block A for generating a 4-2 carry output signal A from the second, third, and fourth logical input signals;
- a first signal generator A for generating a first signal A from at least the logical output signal A;
- a second signal generator A for generating a second signal A from at least the first logical input signal;
- a third signal generator A for generating a third signal A by selecting a signal as the third signal from a first multiple-signal group including at least a 4-2 carry input signal;
- a fourth signal generator A for generating a fourth signal A by selecting a signal as the fourth signal from the second multiple-signal group including at least the 4-2 carry input signal;
- a selector A for selecting one of the second signal A and the third signal A depending on the first signal A to produce a carry output signal A;
- an exclusive OR circuit A for performing an exclusive OR function on the logical output signal A and the fourth signal A to produce an exclusive OR result A; and
- a first AND circuit for performing an AND function on the first logical input signal and one of the second to fourth logical input signals, and the second function block comprises:
- a logical function generator B having at least four logical input terminals and one logical output terminal, for generating an logical output signal B from fifth, sixth, seventh, and eighth logical input signals thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block B for generating a 4-2 carry output signal B from the sixth, seventh, and eighth logical input signals;
- a first signal generator B for generating a first signal B from at least the logical output signal B;
- a second signal generator B for generating a second signal B from at least the fifth logical input signal;
- a third signal generator B for generating a third signal B by selecting a signal as the third signal B from a third multiple-signal group including at least the 4-2 carry output signal A and an output of the first AND circuit;
- a fourth signal generator B for generating a fourth signal B by selecting a signal as the fourth signal B from a fourth multiple-signal group including at least the 4-2 carry output signal A and the carry output signal A;
- a selector B for selecting one of the second signal B and the third signal B depending on the first signal B to produce a carry output signal B;
- an exclusive OR circuit B for performing an exclusive OR function on the logical output signal B and the fourth signal B to produce an exclusive OR result B;
- a second AND circuit for performing an AND function on the logical output signal A and the logical output signal B; and
- an AND-OR circuit for performing a logical OR function on the carry output signal B and an AND of an output signal of the second AND circuit and a ripple carry input signal, to produce a ripple carry output signal.
69. The combined function block according to claim 65, wherein each of the N blocks B1–BN is connected to a common signal line for supplying a common signal thereto.
70. The combined function block according to claim 69, wherein the common signal line is dedicated for signal inputting of each of the N blocks B1–BN.
71. A complex function block comprising:
- a plurality of combined function blocks, each of which comprises N blocks B1–N (N is a natural number greater than 0), each of which includes at least one of 4-2 carry function and a ripple carry function, wherein the N blocks B1–BN are connected such that a carry output signal of a block Bi is a carry input signal of a block Bi+1, where i is an arbitrary natural number greater than 0 and not greater than N−1, wherein the carry output signal is produced by one of 4-2 carry function and a ripple carry function and the carry input signal is used by the one of 4-2 carry function and a ripple carry function, wherein each of the N blocks B1–BN is connected to a common signal line for supplying a common signal thereto; and
- a common signal connection circuit for selecting a signal in programmable fashion from a multiple-signal group including a common signal for one of the combined function blocks to supply the selected signal as a common signal to another one of the combined function blocks.
72. A combined function block comprising:
- a first block having at least a function of generating a 4-2 carry output signal;
- a second block providing at least a predetermined function based on a 4-2 carry input signal; and
- a 4-2 carry connection circuit connected between the first and second blocks, for selecting a signal from a multiple-signal group including the 4-2 carry output signal of the first block and another signal to supply the selected signal as the 4-2 carry input signal to the second block.
73. The combined function block according to claim 72, wherein
- the first block is a combined function block according to claim 66.
74. The combined function block according to claim 73, wherein
- the second block is a combined function block according to claim 66.
75. The combined function block according to claim 72, wherein
- the first block is a combined function block according to claim 68.
76. The combined function block according to claim 72, wherein
- the second block is a combined function block according to claim 68.
77. The combined function block according to claim 72, wherein the other signal is a fixed logical value.
78. A combined function block comprising:
- a first block having at least a function of generating a ripple carry output signal;
- a second block providing at least a predetermined function based on a ripple carry input signal; and
- a ripple carry connection circuit connected between the first and second blocks, for selecting a signal from a multiple-signal group including the ripple carry output signal of the first block and another signal to supply the selected signal as the ripple carry input signal to the second block.
79. The combined function block according to claim 78, wherein
- the first block is a combined function block according to claim 67.
80. The combined function block according to claim 78, wherein the second block is a combined function block according to claim 67.
81. The combined function block according to claim 78, wherein
- the first block is a combined function block according to claim 68.
82. The combined function block according to claim 78, wherein
- the second block is a combined function block according to claim 68.
83. The combined function block according to claim 78, wherein the other signal is a fixed logical value.
84. An integrated circuit comprising an area in which a plurality of function blocks are arranged in a two-dimensional array, wherein each of the function blocks is a combined function block according to claim 65.
85. An integrated circuit comprising an area in which a plurality of function blocks are arranged in a two-dimensional array, wherein each of the function blocks is a complex function block according to claim 71.
86. An integrated circuit comprising an area in which a plurality of function blocks are arranged in a two-dimensional array, wherein each of function blocks is a combined function block according to claim 72.
87. An integrated circuit comprising an area in which a plurality of function blocks are arranged in a two-dimensional array, wherein each of the function blocks is a combined function block according to claim 78.
88. An integrated circuit comprising:
- a first area in which a plurality of first function blocks are arranged in a two-dimensional array, wherein each of the first function blocks is a combined function block according to claim 65; and
- a second area around the first area, wherein a plurality of second function blocks are placed in the second area and are allowed to be individually set to arbitrary logical function.
89. An integrated circuit comprising:
- a first area in which a plurality of first function blocks are arranged in a two-dimensional array, wherein each of the first function blocks is a complex function block according to claim 71; and
- a second area around the first area, wherein a plurality of second function blocks are placed in the second area and are allowed to be individually set to arbitrary logical function.
90. An integrated circuit comprising:
- a first area in which a plurality of first function blocks are arranged in a two-dimensional array, wherein each of the first function blocks is a combined function block according to claim 72; and
- a second area around the first area, wherein a plurality of second function blocks are placed in the second area and are allowed to be individually set to arbitrary logical function.
91. An integrated circuit comprising:
- a first area in which a plurality of first function blocks are arranged in a two-dimensional array, wherein each of the first function blocks is a combined function block according to claim 78; and
- a second area around the first area, wherein a plurality of second function blocks are placed in the second area and are allowed to be individually set to arbitrary logical function.
92. The combined function block according to claim 65, wherein each of the N blocks B1–BN comprises:
- a first exclusive OR circuit for performing an exclusive OR function on a first input signal and a second input signal;
- a second exclusive OR circuit for performing an exclusive OR function on a third input signal and a fourth input signal;
- a 4-2 carry block for generating a 4-2 carry output signal from at least, one of the first and second input signals and one of the third and fourth input signals;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of to third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second input signals;
- a third signal generator for generating a third signal from a first multiple-signal group including a 4-2 carry input signal and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input signal and at least one logical input signal;
- a selector for selecting one of to second and third signals to produce a carry output signal depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
93. The combined function block according to claim 92, wherein each of the N blocks B1–BN further comprises:
- a ripple carry block for generating a ripple carry output signal from two input signals of the third exclusive OR circuit and the ripple carry input signal.
94. The combined function block according to claim 65, wherein each of the N blocks B1–BN comprises a first function block and a second function block, wherein
- the first function block comprises:
- a first exclusive OR circuit A for performing an exclusive OR function on a first input signal and a second input signal;
- a second exclusive OR circuit A for performing an exclusive OR function on a third input signal and a fourth input signal;
- a 4-2 carry block A for generating a 4-2 carry output signal from at least one of the first and second input signals and one of the third and fourth input signals;
- a third exclusive OR circuit A for performing an exclusive OR function on output signals of the first exclusive OR circuit A and the second exclusive OR circuit A;
- a first signal generator A for generating a first signal A from at least an output signal of the third exclusive OR circuit;
- a second signal generator A for generating a second signal A from at least one of the first and second input signals;
- a third signal generator A for generating a third signal A from a first multiple-signal group including a 4-2 carry input signal, a ripple carry input signal, and at least one logical input signal;
- a fourth signal generator A for generating a fourth signal A from a second multiple-signal group including the 4-2 carry input signal, the ripple carry input signal, and at least one logical input signal;
- a selector A for selecting one of the second signal A and the third signal A to produce a carry output signal A depending on the first signal A;
- a fourth exclusive OR circuit A for performing an exclusive OR function on the fourth signal A and the output signal of the third exclusive OR circuit A; and
- a first AND circuit for performing AND function on the output signals of the first exclusive OR circuit A and the second exclusive OR circuit A, and the second function block comprises:
- a first exclusive OR circuit B for performing an exclusive OR function on a fifth input signal and a sixth input signal;
- a second exclusive OR circuit B for performing an exclusive OR function on a seventh input signal and an eighth input signal;
- a 4-2 carry block B for generating a 4-2 carry output signal from at least, one of the fifth and sixth input signals and one of the seventh and eighth input signals;
- a third exclusive OR circuit B for performing an exclusive OR function on output signals of the first exclusive OR circuit B and the second exclusive OR circuit B;
- a first signal generator B for generating a first signal B from at least an output signal of the third exclusive OR circuit B;
- a second signal generator B for generating a second signal B from at least one of the fifth and sixth input signals;
- a third signal generator B for generating a third signal B from a third multiple-signal group including the 4-2 carry output signal A, the carry output signal A, an output of the first AND circuit and at least one logical input signal;
- a fourth signal generator B for generating a fourth signal B from a fourth multiple-signal group including the 4-2 carry output signal A, the carry output signal A and at least one logical input signal;
- a selector B for selecting one of the second signal B and the third signal B to produce a carry output signal B depending on the first signal B;
- a fourth exclusive OR circuit B for performing an exclusive OR function on the fourth signal B and the output signal of the third exclusive OR circuit B;
- a second AND circuit for performing an AND function on an output signal of the third exclusive OR circuit A and an output signal of the third exclusive OR circuit B; and
- an AND-OR circuit for performing a logical OR function on the carry output signal B and an AND of an output signal of the second AND circuit and the ripple carry input signal, to produce a ripple carry output signal,
- wherein the N blocks B1–BN are connected such that a 4-2 carry output signal of a second function block of a block Bi is a carry input signal of a first function block of a block Bi+1, where i is an arbitrary natural number greater than 0 and not greater than N−1.
95. The combined function block according to claim 72, wherein
- the first block is a combined function block according to claim 66 and
- the second block is a function block according to claim 65.
96. The combined function block according to claim 72, wherein
- the first block is a function block according to claim 65, and
- the second block is a combined function block according to claim 66.
97. The combined function block according to claim 72, wherein
- the first block is a combined function block according to claim 68, and
- the second block is a combined function block according to claim 19.
98. The combined function block according to claim 72, wherein
- the first block is a combined function block according to claim 19, and
- the second block is a combined function block according to claim 68.
99. The combined function block according to claim 12, wherein the other signal is a fixed logical value.
100. The combined function block according to claim 78, wherein
- the first block is a combined function block according to claim 61, and
- the second block is a function block according to claim 12.
101. The combined function block according to claim 78, wherein
- the first block is a function block according to claim 12, and
- the second block is a combined function block according to claim 67.
102. The combined function block according to claim 78, wherein
- the first block is a combined function block according to claim 68, and
- the second block is a combined function block according to claim 19.
103. The combined function block according to claim 78, wherein
- the first block is a combined function block according to claim 19, and
- the second block is a combined function block according to claim 68.
104. The combined function block according to claim 78, wherein the other signal is a fixed logical value.
105. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein only one logical function generator is provided, which configures a logical function arbitrarily selected from a plurality of possible 4-input/1-output logical functions depending on configuration data.
106. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein only one logical function generator is provided, which configures a logical function arbitrarily selected from a plurality of possible 3-input/1-output logical functions depending on configuration data.
107. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein two logical function generators are provided, each of which configures a logical function arbitrarily selected from a plurality of possible 3-input/1-output logical functions depending on configuration data.
108. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein n logical function generators are provided, each of which configures a logical function arbitrarily selected from a plurality of possible 2-input/1-output logical functions depending on configuration data, wherein n is a natural number greater than 1 and not greater than 4.
109. The function block according to claim 105, wherein the function block is allowed to implement any of all 4-input/1-output logical functions depending on configuration data.
110. The function block according to claim 107, wherein the function block concurrently configures both a first full adder having first ripple carry input and first ripple carry output and a second full adder having second ripple carry input and second ripple carry output.
111. The function block according to claim 108, wherein the function block concurrently configures both a first full adder having first ripple carry input and first ripple carry output and a second full adder having second ripple carry input and second ripple carry output.
112. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein at least one exclusive OR circuit is provided.
113. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein a single full adder having ripple carry input and ripple carry output is implemented.
114. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- wherein the function block concurrently configures both a first full adder having first ripple carry input and first ripple carry output and a second full adder having second ripple carry input and second ripple carry output.
115. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input, wherein the function block is set to satisfying the following equation:
- S=(O42+OC)×2+OS,
- where S is a sum of the logical inputs and the 4-2 carry input,
- and wherein the function block comprises: at least one preposition circuit provides at least one of the first, second, third, and fourth logical inputs, wherein said at least one preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions without intervention of an interconnection wire providing programmable connections of a plurality of function blocks.
116. A function block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and 4-2 carry input, the function block comprising: where S is a sum of the logical inputs and the 4-2 carry input.
- a logical function generator for generating a logical function selected from a plurality of logical functions including a 4-input/1-output exclusive OR function depending on configuration data;
- a 4-2 carry block for generating the 4-2 carry output from at least three ones of the first to fourth logical inputs;
- a carry block for generating the carry output from a multiple-signal group including the 4-2 carry input and at least one of the first to fourth logical inputs; and
- an exclusive OR circuit for performing an exclusive OR function on an output of the logical function generator and the 4-2 carry input to produce the addition output,
- wherein the function block is set to satisfying the following equation: S=(O42+OC)×2+OS,
117. The function block according to claim 116, wherein
- the 4-2 carry block outputs as the 4-2 carry output an OR of an AND of the first and second logical inputs and an AND of the third and fourth logical inputs, and
- the carry block outputs the carry output one selected from a signal group consisting of the 4-2 carry input and an AND of an OR of the first and second logical inputs and an OR of the third and fourth logical inputs, depending on the output of the logical function generator.
118. The function block according to claim 116, wherein
- the 4-2 carry block outputs as to 4-2 carry output an AND of an OR of the first and second logical inputs and an OR of the third and fourth logical inputs, and
- the carry block outputs the carry output one selected from a signal group consisting of the 4-2 carry input and an OR of an AND of the first and second logical inputs and an AND of the third and fourth logical inputs, depending on the output of the logical function generator.
119. The function block according to claim 116, further comprising:
- at least one preposition circuit provides at least one of the four logical inputs, wherein said at least one preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions.
120. A function block comprising: where S is a sum of the logical inputs and the 4-2 carry input,
- a 4-2 adder block for generating 4-2 carry output O42, addition output OS, and carry output OC from at least first, second, third, and fourth logical inputs and a 4-2 carry input;
- at least one preposition circuit provides at least one of the first to fourth logical inputs, wherein said at least one preposition circuit is a programmable circuit that is allowed to be set to an arbitrary one of a plurality of logical functions,
- wherein the function block is allowed to be set to satisfying the following equation: S=(O42+OC)×2+OS,
- wherein the function block allows a plurality of 4-input/1-output logical functions.
121. The function block according to claim 120, wherein the 4-2 adder block comprises:
- a 5-input exclusive OR circuit for output the addition output from the first to fourth logical inputs and the 4-2 carry input;
- a 4-2 carry block for generating the 4-2 carry output from at least three ones of the first to fourth logical inputs;
- a carry block for generating the carry output from a first multiple-signal group including the 4-2 carry input and at least one of the first to fourth logical inputs.
122. The function block according to claim 121, wherein
- the 5-input exclusive OR circuit comprises a 4-input exclusive OR circuit performing an exclusive OR function on the first to fourth logical inputs,
- the carry block is controlled by an output of to 4-input exclusive OR circuit.
123. The function block according to claim 122, wherein
- the 4-2 carry block outputs as the 4-2 carry output an OR of an AND of the first and second logical inputs and an AND of the third and fourth logical inputs, and
- the carry block outputs the carry output one selected from a signal group consisting of the 4-2 carry input and an AND of an OR of the first and second logical inputs and an OR of the third and fourth logical inputs, depending on the output of the 4-input exclusive OR circuit.
124. The function block according to claim 122, wherein
- the 4-2 carry block outputs as the 4-2 carry output an AND of an OR of the first and second logical inputs and an OR of the third and fourth logical inputs, and
- the carry block outputs the carry output one selected from a signal group consisting of the 4-2 carry input and an OR of an AND of the first and second logical inputs and an AND of the third and fourth logical inputs, depending on the output of the 4-input exclusive OR circuit.
125. A function block for generating 4-2 carry output, addition output, carry output and ripple carry output from at least 4-2 carry input and ripple carry input, the function block implementing:
- a 4-input/1-output multiplexer controlled by at least a dynamic signal without intervention of an interconnection wire providing programmable connections between a plurality of function blocks;
- a plurality of 4-input/1-output logical functions;
- a 4-2 adder for generating the 4-2 carry output, the addition output, and the carry output from the 4-2 carry input; and
- a full adder for generating the addition output and the ripple carry output from the tipple carry input.
126. An N-bit 4-2 adder for generating multi-bit addition output and multi-bit carry output from first, second, third, and fourth N-bit argument inputs (N is a natural number greater than 1), comprising: where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output.
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output;
- wherein
- the first N-bit argument input, second N-bit argument input third N-bit argument input and fourth N-bit argument input consist of the first argument inputs of the N function blocks, second argument inputs of the N function blocks, third argument inputs of the N function blocks and fourth argument inputs of the N function blocks, respectively,
- the multi-bit addition output includes addition outputs of the N function blocks, and
- the multi-bit carry output includes carry outputs of the N function blocks, wherein the N function blocks B1–BN are connected such that a 4-2 carry output of a function block Bi is a 4-2 carry input of a function block Bi+1, where i is an arbitrary natural number greater than 1 and not greater than N−1, wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
127. The N-bit 4-2 adder according to claim 126, wherein the N-bit 4-2 adder is implemented on an integrated circuit which has the N function blocks and an interconnection network formed thereon, the interconnection network providing programmable connections between the N function blocks.
128. The N-bit 4-2 adder according to claim 126, wherein each of the N function blocks comprises:
- a logical function generator having at least four logical input terminals and one logical output terminal, for generating a logical output from the first, second, third, and fourth argument inputs thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block for generating a 4-2 carry output signal from the second, third, and fourth argument inputs;
- a first signal generator for generating a first signal from at least the logical output;
- a second signal generator for generating a second signal from at least the first argument input;
- a third signal generator for generating a third signal from at least the 4-2 carry input;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input;
- a selector for selecting one of the second and third signals depending on the first signal to produce the carry output; and
- an exclusive OR circuit for performing an exclusive OR function on the logical output and the fourth signal to produce the addition output.
129. The N-bit 4-2 adder according to claim 126, wherein each of the N function blocks comprises:
- a first exclusive OR circuit for performing an exclusive OR function on the first and second argument inputs;
- a second exclusive OR circuit for performing an exclusive OR function on the third and fourth argument inputs;
- a 4-2 carry block for generating the 4-2 carry output from at least, one of the first and second argument inputs and one of the third and fourth argument inputs;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second argument inputs;
- a third signal generator for generating a third signal from a first multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a selector for selecting one of the second and third signals to produce the carry output depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
130. A multi-bit multi-argument 4-2 adder comprising a plurality of multi-bit 4-2 adders, where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output,
- each of the multi-bit 4-2 adders comprising:
- at least first, second, third, and fourth multi-bit argument inputs, multi-bit addition output and multi-bit carry output;
- a plurality of function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output;
- wherein the first multi-bit argument input, second multi-bit argument input third multi-bit argument input and fourth multi-bit argument input consist of the first argument inputs of the function blocks, second argument inputs of the function blocks, third argument inputs of the function blocks, and fourth argument inputs of the function blocks, respectively,
- the multi-bit addition output includes addition outputs of the function blocks, and
- the multi-bit carry output includes carry outputs of the function blocks,
- wherein the function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
- wherein the multi-bit multi-argument 4-2 adder has at least one of six configurations as follows:
- 1) a first configuration in which a I-bit 4-2 adder (I is a natural number greater than 1), a J-bit 4-2 adder (J is a natural number greater than 1), and a K-bit 4-2 adder (K is a natural number greater than 1) are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the I-bit 4-2 adder and at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the J-bit 4-2 adder are supplied to first, second, third and fourth K-bit argument inputs of the K-bit 4-2 adder;
- 2) a second configuration in which the I-bit 4-2 adder and the J-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the I-bit 4-2 adder are supplied to any of first, second, third and fourth J-bit argument inputs of the J-bit 4-2 adder;
- 3) a third configuration in which
- the I-bit 4-2 adder and the J-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the I-bit 4-2 adder are supplied to any of first second, third and fourth J-bit argument inputs of the J-bit 4-2 adder, and
- the J-bit 4-2 adder and the K-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the J-bit 4-2 adder are supplied to any of first second, third and fourth K-bit argument inputs of the K-bit 4-2 adder;
- 4) a fourth configuration in which a multi-bit full adder having a multi-bit addition output and first and second multi-bit argument inputs and a N-bit 4-2 adder (N is a natural number greater than 1) are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the N-bit 4-2 adder are supplied to respective ones of the first and second multi-bit argument inputs of the multi-bit full adder;
- 5) a fifth configuration in which
- the I-bit 4-2 adder and the J-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the I-bit 4-2 adder are supplied to any of first second, third and fourth J-bit argument inputs of the J-bit 4-2 adder,
- the K-bit 4-2 adder and a L-bit 4-2 adder (L is a natural number greater than 1) are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the K-bit 4-2 adder are supplied to any of first, second, third and fourth L-bit argument inputs of the L-bit 4-2 adder, and
- the J-bit 4-2 adder, the L-bit 4-2 adder, and a M-bit 4-2 adder (M is a natural number greater than 1) are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the J-bit 4-2 adder and at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the L-bit 4-2 adder are supplied to first, second, third and fourth M-bit argument inputs of the M-bit 4-2 adder; and
- 6) a sixth configuration in which
- the I-bit 4-2 adder and the J-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the I-bit 4-2 adder are supplied to any of first, second, third and fourth J-bit argument inputs of the J-bit 4-2 adder,
- the J-bit 4-2 adder, the K-bit 4-2 adder, and the L-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the J-bit 4-2 adder and at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the K-bit 4-2 adder are supplied to first, second, third and fourth L-bit argument inputs of the L-bit 4-2 adder, and
- the M-bit 4-2 adder, the N-bit 4-2 adder, and the K-bit 4-2 adder are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the M-bit 4-2 adder and at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of the N-bit 4-2 adder are supplied to first, second, third and fourth K-bit argument inputs of the K-bit 4-2 adder.
131. An N-bit 4 AND 4-2 adder for generating multi-bit addition output and multi-bit carry output (N is a natural number greater than 1), comprising:
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first to fourth argument inputs are supplied from respective ones of AND circuits;
- wherein the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
- where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output.
132. The N-bit 4 AND 4-2 adder according to claim 131, wherein each of the N function blocks comprises:
- a logical function generator having at least four logical input terminals and one logical output terminal, for generating a logical output from the first, second, third, and fourth argument inputs thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block for generating a 4-2 carry output signal from the second, third; and fourth argument inputs;
- a first signal generator for generating a first signal from at least the logical output;
- a second signal generator for generating a second signal from at least the first argument input;
- a third signal generator for generating a third signal from at least the 4-2 carry input;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input;
- a selector for selecting one of the second and third signals depending on the first signal to produce the carry output; and
- an exclusive OR circuit for performing an exclusive OR function on the logical output and the fourth signal to produce the addition output.
133. The N-bit 4AND4-2 adder according to claim 131, wherein each of the N function blocks comprises:
- a first exclusive OR circuit for performing an exclusive OR function on the first and second argument inputs;
- a second exclusive OR circuit for performing an exclusive OR function on the third and fourth argument inputs;
- a 4-2 carry block for generating the 4-2 carry output from at least, one of the first and second argument inputs and one of the third and fourth argument inputs;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second argument inputs;
- a third signal generator for generating a third signal from a first multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a selector for selecting one of the second and third signals to produce the carry output depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
134. A multiplier comprising: where S is a sum of the first to fourth inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output, and where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output.
- a plurality of N-bit 4AND4-2 adders, each of which has multi-bit addition output and multi-bit carry output (N is a natural number greater than 1); and
- a plurality of multi-bit multi-argument 4-2 adders, each of which includes a plurality of multi-bit 4-2 adders,
- each of the N-bit 4AND4-2 adders comprising:
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first to fourth inputs are supplied from respective ones of AND circuits;
- wherein the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
- each of the multi-bit 4-2 adders comprises:
- at least first, second, third, and fourth multi-bit argument inputs, multi-bit addition output and multi-bit carry output;
- a plurality of function blocks which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output;
- wherein the first multi-bit argument input, second multi-bit argument input, third multi-bit argument input and fourth multi-bit argument input consist of the first argument inputs of the function blocks, second argument inputs of the function blocks, third argument inputs of the function blocks, and fourth argument inputs of the function blocks, respectively,
- the multi-bit addition output includes addition outputs of the function blocks, and
- the multi-bit carry output includes carry outputs of the function blocks,
- wherein the function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
135. An N-bit 2AND4-2 adder for generating multi-bit addition output and multi-bit carry output from first and second N-bit argument inputs (N is a natural number greater than 1), comprising: where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output.
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first and second argument inputs are supplied from respective ones of AND circuits;
- wherein the first N-bit argument input and the second N-bit argument input consist of the first argument inputs of the N function blocks and second argument inputs of the N function blocks, respectively, the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
136. The N-bit 2AND4-2 adder according to claim 135, wherein each of the N function blocks comprises:
- a logical function generator having at least four logical input terminals and one logical output terminal, for generating a logical output from the first, second, third, and fourth argument inputs thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block for generating a 4-2 carry output signal from the second, third, and fourth argument inputs;
- a first signal generator for generating a first signal from at least the logical output,
- a second signal generator for generating a second signal front at least the first argument input,
- a third signal generator for generating a third signal from at least the 4-2 carry input;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input;
- a selector for selecting one of the second and third signals depending on the first signal to produce the carry output; and
- an exclusive OR circuit for performing an exclusive OR function on the logical output and the fourth signal to produce the addition output.
137. The N-bit 2AND4-2 adder according to claim 135, wherein each of the N function blocks comprises:
- a first exclusive OR circuit for performing an exclusive OR function on the first and second argument inputs;
- a second exclusive OR circuit for performing an exclusive OR function on the third and fourth argument inputs;
- a 4-2 carry block for generating the 4-2 carry output from at least, one of the first and second argument inputs and one of the third and fourth argument inputs;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second argument inputs;
- a third signal generator for generating a third signal from a first multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a selector for selecting one of the second and third signals to produce the carry output depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
138. A multiplier comprising: where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output,
- M N-bit 2AND4-2 adders, each of which has multi-bit addition output multi-bit carry output, and first and second N-bit argument inputs (M, N is a natural number greater than 1) and comprises:
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first and second argument inputs are supplied from respective ones of AND circuits;
- wherein the first N-bit argument input and the second N-bit argument input consist of the first argument inputs of the N function blocks and second argument inputs of the N function blocks, respectively, the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
- wherein the M N-bit 2AND4-2 adders are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of an j-th N-bit 2AND4-2 adder are supplied to the first and second N-bit argument inputs of an (j+1)-th N-bit 2AND4-2 adder, wherein j is a natural number greater than 1 and not greater than M−1.
139. A multiplier comprising: where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output.
- an N-bit 2AND4-2 adder having multi-bit addition output, multi-bit carry output, and at least first and second N-bit argument inputs (M, N is a natural number greater than 1), wherein the N-bit 2AND4-2 adder comprises:
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first and second argument inputs are supplied from respective ones of AND circuits;
- wherein the first N-bit argument input and the second N-bit argument input consist of the first argument inputs of the N function blocks and second argument inputs of the N function blocks, respectively, the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
140. A multiplier comprising: where S is a sum of the first to fourth argument inputs and the 4-2 carry input, O42 is the 4-2 carry output, OC is the carry output, and OS is the addition output, wherein the M N-bit 2AND4-2 adders are connected such that at least one portion of a multi-bit carry output and at least one portion of a multi-bit addition output of an j-th N-bit 2AND4-2 adder are supplied to the first and second N-bit argument inputs of an (j+1)-th N-bit 2AND4-2 adder, wherein j is a natural number greater than 1 and not greater than M−1.
- at least two block circuits, each of which comprises:
- M N-bit 2AND4-2 adders, each of which has multi-bit addition output, multi-bit carry output, and at least first and second N-bit argument inputs (M, N is a natural number greater than 1) and comprises:
- N function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions, wherein each of the N function blocks has at least first to fourth argument inputs, a 4-2 carry input, a 4-2 carry output, an addition output, and a carry output, wherein the first and second argument inputs are supplied from respective ones of AND circuits;
- wherein the first N-bit argument input and the second N-bit argument input consist of the first argument inputs of the N function blocks and second argument inputs of the N function blocks, respectively, the multi-bit addition output includes addition outputs of the N function blocks, and the multi-bit carry output includes carry outputs of the N function blocks,
- wherein the N function blocks are connected such that a 4-2 carry output of a i-th function block is a 4-2 carry input of a (i+1)-th function block, where i is an arbitrary natural number greater than 0,
- wherein each of the N function blocks is set to satisfying the following equation: S=(O42+OC)×2+OS,
141. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks, and
- wherein an i-th input of n-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (n−i×4k)-th bit of multi-bit data output from a previous stage, wherein i is one of 0, 1, 2, and 3, k is an integer equal to or greater than 0, n is an integer equal to or greater than 3×4k.
142. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks, and
- wherein an i-th input of n-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (n+i×4k)-th bit of multi-bit data output from a previous stage, wherein i is one of 0, 1, 2, and 3, k and n is an integer equal to or greater than 0.
143. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks,
- wherein the plurality of function blocks are divided into a first section and a second section,
- wherein in the first section, an i-th input of m-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (m−i×4k)-th bit of multi-bit data output from a previous stage, wherein i is one of 0, 1, 2, and 3, k is an integer equal to or greater than 0, and m is an integer equal to or greater than 3×4k, and
- wherein in the second section, an j-th input of n-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (n−j×4k+1)-th bit of output data from the first section, wherein j is one of 0, 1, 2, and 3, and n is an integer equal to or greater than 3×4k+1.
144. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks;
- wherein the plurality of function blocks are divided into a first section and a second section,
- wherein in the first section, an i-th input of m-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (m+i×4k)-th bit of multi-bit data output from a previous stage, wherein i is one of 0, 1, 2, and 3, k and m is an integer equal to or greater than 0, and
- wherein in the second section, an j-th input of n-th 4-input/1-output multiplexer in arbitrary stage is supplied with a (n+j×4k+1)-th bit of output data from the first section, wherein j is one of 0, 1, 2, and 3, and n is an integer equal to or greater than 3×4k+1.
145. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks,
- wherein each of the function blocks comprises:
- a logical function generator having at least four logical input terminals and one logical output terminal, for generating a logical output from the first, second, third, and fourth argument inputs thereof according to a logical function selected from a plurality of 4-input/1-output logical functions depending on configuration data;
- a 4-2 carry block for generating a 4-2 carry output signal from the second, third, and fourth argument inputs;
- a first signal generator for generating a first signal from at least the logical output;
- a second signal generator for generating a second signal from at least the first argument input;
- a third signal generator for generating a third signal from at least the 4-2 carry input;
- a fourth signal generator for generating a fourth signal from at least the 4-2 carry input;
- a selector for selecting one of the second and third signals depending on the first signal to produce the carry output; and
- an exclusive OR circuit for performing an exclusive OR function on the logical output and the fourth signal to produce the addition output.
146. A barrel shifter comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected from a plurality of logical functions,
- wherein the function blocks are arrayed in a plurality of stages and are connected in programmable fashion by an interconnection network,
- wherein a 4-input/1-output multiplexer controlled by a dynamic signal is configured in each of the function blocks,
- wherein each of the function blocks comprises:
- a first exclusive OR circuit for performing an exclusive OR function on the first and second argument inputs;
- a second exclusive OR circuit for performing an exclusive OR function on the third and fourth argument inputs;
- a 4-2 carry block for generating the 4-2 carry output from at least, one of the first and second argument inputs and one of the third and fourth argument inputs;
- a third exclusive OR circuit for performing an exclusive OR function on output signals of the first exclusive OR circuit and the second exclusive OR circuit;
- a first signal generator for generating a first signal from at least an output signal of the third exclusive OR circuit;
- a second signal generator for generating a second signal from at least one of the first and second argument inputs;
- a third signal generator for generating a third signal from a first multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a fourth signal generator for generating a fourth signal from a second multiple-signal group including the 4-2 carry input and at least one logical input signal;
- a selector for selecting one of the second and third signals to produce the carry output depending on the first signal; and
- a fourth exclusive OR circuit for performing an exclusive OR function on the fourth signal and the output signal of the third exclusive OR circuit.
147. A combined function block comprising:
- two function blocks, each of which is programmed to provide an arbitrary logical function selected from a plurality of logical functions; and
- a 2-bit carry look-ahead circuit having a ripple carry input and a ripple carry output,
- wherein the 2-bit carry look-ahead circuit includes a first NAND circuit and a second NAND circuit, wherein the ripple carry output is supplied by the first NAND circuit,
- one input of the first NAND circuit is supplied by the second NAND circuit, and
- one input of the second NAND circuit is supplied by the ripple carry input.
148. A multiplier implemented on an integrated circuit comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions; and
- an interconnection wiring network allowing programmable connections among the plurality of function blocks, wherein the multiplier comprises: at least one 4-2 adder, each of which is implemented in a different one of the plurality of function blocks, wherein the multiplier does not include any modified booth partial product generator.
149. A multiplier implemented on an integrated circuit comprising:
- a plurality of function blocks, each of which is set to an arbitrary logical function selected in programmable fashion from a plurality of logical functions; and
- an interconnection wiring network allowing programmable connections among the plurality of function blocks, wherein the multiplier comprises: at least one 4-2 adder, each of which is implemented in a different one of the plurality of function blocks, wherein at least one input of each 4-2 adder has an output of an AND circuit connected thereto,
- wherein the multiplier does not include any modified booth partial product generator.
5808928 | September 15, 1998 | Miyoshi |
5818747 | October 6, 1998 | Wong |
6097212 | August 1, 2000 | Agrawal et al. |
6157209 | December 5, 2000 | McGettigan |
6188240 | February 13, 2001 | Nakaya |
10-55265 | February 1998 | JP |
10-333884 | December 1998 | JP |
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11-122096 | April 1999 | JP |
11-353152 | December 1999 | JP |
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Type: Grant
Filed: Oct 18, 2004
Date of Patent: Mar 13, 2007
Patent Publication Number: 20050055395
Assignee: NEC Corporation (Tokyo)
Inventor: Shogo Nakaya (Tokyo)
Primary Examiner: Vibol Tan
Attorney: Foley & Lardner LLP
Application Number: 10/968,554
International Classification: G06F 7/50 (20060101); H03K 19/20 (20060101);